Details

Time bar (total: 9.8s)

analyze13.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
75%25%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 175 to 47 computations (73.1% saved)

sample1.9s (19.7%)

Results
1.9s8256×body256valid

preprocess79.0ms (0.8%)

Algorithm
egg-herbie
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Outputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
Compiler

Compiled 175 to 47 computations (73.1% saved)

simplify28.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Outputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))

eval2.0ms (0%)

Compiler

Compiled 262 to 100 computations (61.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
29.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
29.3b
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
Compiler

Compiled 263 to 102 computations (61.2% saved)

localize158.0ms (1.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))
0.0b
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x)
0.0b
(+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))
0.0b
(fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))
0.2b
(fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))
0.2b
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))
0.3b
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))
28.8b
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
Compiler

Compiled 477 to 283 computations (40.7% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))
1.0ms
x
@inf
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
1.0ms
x
@0
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
1.0ms
x
@-inf
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
1.0ms
x
@inf
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))

rewrite102.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
41×egg-rr
30×egg-rr
30×egg-rr
24×egg-rr
Counts
4 → 125
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))
(fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))
(fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 1789971/10000000000 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) x) (-.f64 (*.f64 -1789971/5000000000 (pow.f64 (*.f64 x x) 6)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 (*.f64 -1789971/5000000000 (pow.f64 (*.f64 x x) 6)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 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(fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 1789971/10000000000 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) (cbrt.f64 (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) 6) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) 6) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) 2))))))) 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(fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) 6) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))) 2)) (cbrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 1789971/10000000000 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) x) (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) 6) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 1789971/10000000000 (fma.f64 (pow.f64 x 8) 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x) x 7715471019/10000000000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) 6) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))) (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 5) 1789971/10000000000 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) 6) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (neg.f64 1/3)) (/.f64 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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 8) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 106015151/2500000000 x) x 1049934947/10000000000) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))) (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)) (*.f64 (pow.f64 x 6) 694555761/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 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1665589/2000000000 (pow.f64 (*.f64 x x) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)) (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (*.f64 (pow.f64 x 6) 694555761/10000000000)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (*.f64 (pow.f64 x 8) 70002721/5000000000)) (+.f64 (*.f64 (pow.f64 x 6) 694555761/10000000000) (*.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5)) (+.f64 (*.f64 (pow.f64 x 8) 70002721/5000000000) (*.f64 (pow.f64 x 6) 694555761/10000000000))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 8) 70002721/5000000000) (*.f64 (pow.f64 x 6) 694555761/10000000000)) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1) (*.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) (cbrt.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 2)) (cbrt.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) 5) (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 2909738639/10000000000 x) x 7715471019/10000000000) 1))))))))

simplify225.0ms (2.3%)

Algorithm
egg-herbie
Counts
173 → 173
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6)))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4))))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4)))))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8)))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8)))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6)))))
(*.f64 1665589/2000000000 (pow.f64 x 10))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))))
(*.f64 1665589/2000000000 (pow.f64 x 10))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))))
Outputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.f64 1/2 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.f64 1/2 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 (pow.f64 x -3) 600041/2386628 (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x))))
1
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2)))
(fma.f64 7715471019/10000000000 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 7715471019/10000000000 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x)))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6)))
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 694555761/10000000000 (pow.f64 x 6)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 694555761/10000000000 (pow.f64 x 6))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x)))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 694555761/10000000000 (pow.f64 x 6)))
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 694555761/10000000000 (pow.f64 x 6)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 694555761/10000000000 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 694555761/10000000000 (pow.f64 x 6))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 7715471019/10000000000 (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x)))))
1
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(fma.f64 1049934947/10000000000 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4))))
(+.f64 1 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 1049934947/10000000000 (*.f64 x x))))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (*.f64 106015151/2500000000 (pow.f64 x 4)))))
(+.f64 (fma.f64 36322091/5000000000 (pow.f64 x 6) 1) (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 1049934947/10000000000 (*.f64 x x))))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8)))
(fma.f64 36322091/5000000000 (pow.f64 x 6) (*.f64 2532017/5000000000 (pow.f64 x 8)))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8))))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))))
(fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) 1049934947/10000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8)))))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (*.f64 2532017/5000000000 (pow.f64 x 8)))
(fma.f64 36322091/5000000000 (pow.f64 x 6) (*.f64 2532017/5000000000 (pow.f64 x 8)))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 6) 36322091/5000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8))))
(+.f64 (*.f64 36322091/5000000000 (pow.f64 x 6)) (+.f64 (*.f64 1049934947/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 106015151/2500000000 (pow.f64 x 4)) (*.f64 2532017/5000000000 (pow.f64 x 8)))))
(fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 (*.f64 x x) 1049934947/10000000000 (fma.f64 106015151/2500000000 (pow.f64 x 4) (*.f64 2532017/5000000000 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 7715471019/10000000000 (pow.f64 x 2)))
(fma.f64 7715471019/10000000000 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (*.f64 7715471019/10000000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (*.f64 7715471019/10000000000 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 7715471019/10000000000 (pow.f64 x 2)) (*.f64 694555761/10000000000 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 7715471019/10000000000 (*.f64 x x)))))
(*.f64 1665589/2000000000 (pow.f64 x 10))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10)))
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 1665589/2000000000 (pow.f64 x 10)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10)))))
(*.f64 1665589/2000000000 (pow.f64 x 10))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (*.f64 1665589/2000000000 (pow.f64 x 10)))
(fma.f64 70002721/5000000000 (pow.f64 x 8) (*.f64 1665589/2000000000 (pow.f64 x 10)))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10))))
(+.f64 (*.f64 70002721/5000000000 (pow.f64 x 8)) (+.f64 (*.f64 2909738639/10000000000 (pow.f64 x 4)) (+.f64 (*.f64 694555761/10000000000 (pow.f64 x 6)) (*.f64 1665589/2000000000 (pow.f64 x 10)))))
(fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 694555761/10000000000 (pow.f64 x 6) (*.f64 1665589/2000000000 (pow.f64 x 10)))))

localize171.0ms (1.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
0.3b
(*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
0.3b
(*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
14.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
28.7b
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
Compiler

Compiled 1045 to 244 computations (76.7% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@0
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@-inf
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@0
(*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
0.0ms
x
@inf
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

rewrite72.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
23×egg-rr
23×egg-rr
21×egg-rr
21×egg-rr
Counts
4 → 88
Calls
Call 1
Inputs
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(*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 70002721/5000000000) (*.f64 (cbrt.f64 (*.f64 70002721/5000000000 70002721/5000000000)) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 2)) (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 70002721/5000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 70002721/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) (pow.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2) (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) 2) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 3) x) (*.f64 x 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 70002721/5000000000) (*.f64 (sqrt.f64 70002721/5000000000) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 70002721/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 70002721/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2532017/5000000000) (*.f64 (cbrt.f64 (*.f64 2532017/5000000000 2532017/5000000000)) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2532017/5000000000) (pow.f64 (*.f64 x x) 2)) (*.f64 (sqrt.f64 2532017/5000000000) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 2532017/5000000000)) (*.f64 (pow.f64 (*.f64 x x) 2) (sqrt.f64 2532017/5000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) (pow.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 2) (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) 2) 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x x) 3) x) (*.f64 x 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2532017/5000000000) (*.f64 (sqrt.f64 2532017/5000000000) (pow.f64 (*.f64 x x) (*.f64 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) 2532017/5000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 2532017/5000000000) (pow.f64 (*.f64 (cbrt.f64 x) x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2532017/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3))))))

simplify228.0ms (2.3%)

Algorithm
egg-herbie
Counts
136 → 119
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
Outputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 1/2 (pow.f64 x -2) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -8) (*.f64 600041/2386628 (pow.f64 x -4)))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(fma.f64 1307076337763/8543989815576 (pow.f64 x -6) (fma.f64 1/2 (pow.f64 x -2) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -8) (*.f64 600041/2386628 (pow.f64 x -4)))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.f64 1/2 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (/.f64 1/2 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 600041/2386628 (pow.f64 x -3) (fma.f64 1307076337763/8543989815576 (pow.f64 x -5) (fma.f64 344398180852034095277/30586987988352776592 (pow.f64 x -7) (/.f64 1/2 x))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))
(*.f64 2532017/5000000000 (pow.f64 x 8))

eval379.0ms (3.9%)

Compiler

Compiled 26001 to 14027 computations (46.1% saved)

prune46.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2848292
Fresh000
Picked011
Done101
Total2859294
Error
0b
Counts
294 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
31.8b
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
31.5b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
31.8b
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
30.9b
x
30.5b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
32.2b
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
31.6b
(/.f64 1/2 x)
Compiler

Compiled 658 to 267 computations (59.4% saved)

localize227.0ms (2.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
0.3b
(*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))
5.3b
(pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))
14.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
28.7b
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
Compiler

Compiled 1067 to 329 computations (69.2% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))
1.0ms
x
@inf
(pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))
1.0ms
x
@inf
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@0
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@inf
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

rewrite69.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
23×egg-rr
23×egg-rr
20×egg-rr
20×egg-rr
Counts
4 → 86
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))
(*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1789971/10000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 (pow.f64 x 4) 106015151/2500000000 (fma.f64 1049934947/10000000000 (*.f64 x x) 1)))))) 2) (/.f64 1 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1789971/5000000000 (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 (pow.f64 (*.f64 x x) 4) 70002721/5000000000 (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (fma.f64 2909738639/10000000000 (pow.f64 x 4) (fma.f64 (*.f64 x x) 7715471019/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify240.0ms (2.4%)

Algorithm
egg-herbie
Counts
134 → 97
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
Outputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (/.f64 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))))
(-.f64 (fma.f64 1/2 (pow.f64 x -2) (fma.f64 (pow.f64 x -8) 153565447/7159884 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6))))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -6))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (/.f64 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 6))))))
(-.f64 (fma.f64 1/2 (pow.f64 x -2) (fma.f64 (pow.f64 x -8) 153565447/7159884 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6))))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 8)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -6))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))
(+.f64 (fma.f64 168377530352551/8543989815576 (pow.f64 x -5) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 (*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x -5)) -2500000000/1789971))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))))
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 153565447/7159884 (pow.f64 x -7) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -5))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))
(+.f64 (fma.f64 168377530352551/8543989815576 (pow.f64 x -5) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 (*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x -5)) -2500000000/1789971))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 153565447/7159884 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))) (+.f64 (*.f64 8327945/3579942 (/.f64 (-.f64 168377530352551/8543989815576 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7))) (+.f64 (*.f64 750051250000000/1067998726947 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 7))) (*.f64 2500000000/1789971 (/.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 5))))))
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 153565447/7159884 (pow.f64 x -7) (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) (+.f64 (/.f64 (+.f64 (*.f64 8327945/3579942 (+.f64 168377530352551/8543989815576 (*.f64 -2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)))) (*.f64 750051250000000/1067998726947 (cbrt.f64 343040000254826755851361/125000000000000000000000000000))) (pow.f64 x 7)) (*.f64 (*.f64 2500000000/1789971 (cbrt.f64 343040000254826755851361/125000000000000000000000000000)) (pow.f64 x -5))))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 (cbrt.f64 343040000254826755851361/125000000000000000000000000000) (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -833192009/1250000000 (pow.f64 x 3))
0.0b
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
0.0b
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
0.1b
(*.f64 -833192009/1250000000 (pow.f64 x 3))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series4.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 -833192009/1250000000 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
0.0ms
x
@inf
(*.f64 -833192009/1250000000 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -833192009/1250000000 (pow.f64 x 3))
0.0ms
x
@-inf
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)

rewrite74.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
45×egg-rr
28×egg-rr
Counts
2 → 73
Calls
Call 1
Inputs
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (pow.f64 x 3)) (cbrt.f64 -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (*.f64 (cbrt.f64 -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 (pow.f64 x 3) (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (/.f64 1 -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2/3) (*.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (-.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (+.f64 (pow.f64 x 2/3) (*.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (cbrt.f64 (neg.f64 x))))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2/3) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -833192009/1250000000) x) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 2/3) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 2/3) (cbrt.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (*.f64 (cbrt.f64 -833192009/1250000000) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 -833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1 x)))))

simplify58.0ms (0.6%)

Algorithm
egg-herbie
Counts
76 → 74
Calls
Call 1
Inputs
x
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
Outputs
x
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
0.0b
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
0.0b
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
0.1b
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
0.0ms
x
@0
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
0.0ms
x
@0
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
0.0ms
x
@inf
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
0.0ms
x
@-inf
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)

rewrite67.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
72×egg-rr
38×egg-rr
Counts
2 → 110
Calls
Call 1
Inputs
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -833192009/1250000000 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (-.f64 1/2 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 9 (-.f64 9 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 3 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 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((x fma.f64 -833192009/1250000000 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2/3)) (pow.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -833192009/1250000000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (*.f64 -833192009/1250000000 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3) (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 2/3) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) (*.f64 (pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2/3) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 2/3) x) (cbrt.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) 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-833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1)) (/.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000) (fma.f64 (*.f64 -833192009/1250000000 x) x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1))) (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (fma.f64 (*.f64 -833192009/1250000000 x) x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1)) (-.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000) (fma.f64 (*.f64 -833192009/1250000000 x) x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 x) (fma.f64 -833192009/1250000000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x)))))

simplify117.0ms (1.2%)

Algorithm
egg-herbie
Counts
134 → 118
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
Outputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 -833192009/1250000000 x) x)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 -833192009/1250000000 x) x)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (pow.f64 x 3))
0.2b
(*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))
0.0b
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
0.0b
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
0.2b
(*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))
0.3b
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 42 to 34 computations (19% saved)

series3.0ms (0%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))
0.0ms
x
@0
(/.f64 1 (pow.f64 x 3))
0.0ms
x
@0
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 1 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
101×egg-rr
61×egg-rr
48×egg-rr
Counts
3 → 210
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 3))
(*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
Outputs
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simplify107.0ms (1.1%)

Algorithm
egg-herbie
Counts
228 → 212
Calls
Call 1
Inputs
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(/.f64 1/2 x)
(/.f64 1/2 x)
Outputs
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(/.f64 1/2 x)

eval252.0ms (2.6%)

Compiler

Compiled 14472 to 8424 computations (41.8% saved)

prune71.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New4947501
Fresh123
Picked101
Done325
Total49911510
Error
0b
Counts
510 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
31.8b
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
31.8b
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
30.9b
x
31.8b
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
31.5b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
31.6b
(/.f64 1/2 x)
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
53.7b
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
32.2b
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Compiler

Compiled 714 to 298 computations (58.3% saved)

localize189.0ms (1.9%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
0.0b
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
0.3b
(*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))
13.3b
(cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))
14.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
28.7b
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
Compiler

Compiled 1025 to 287 computations (72% saved)

series6.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))
1.0ms
x
@inf
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@0
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
1.0ms
x
@inf
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
0.0ms
x
@-inf
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

rewrite75.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
23×egg-rr
23×egg-rr
23×egg-rr
11×egg-rr
Counts
4 → 80
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4)))
(*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))
Outputs
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simplify171.0ms (1.7%)

Algorithm
egg-herbie
Counts
116 → 110
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7))))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
Outputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (*.f64 -833192009/1250000000 (*.f64 x x)))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))
(fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8))))
(-.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (*.f64 746208004415687336459/30586987988352776592 (pow.f64 x -8)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 600041/2386628 (pow.f64 x -4) (/.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6)))))
(fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 6))))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 8))))
(-.f64 (fma.f64 (pow.f64 x -2) 1/2 (fma.f64 600041/2386628 (pow.f64 x -4) (*.f64 168377530352551/8543989815576 (pow.f64 x -6)))) (*.f64 746208004415687336459/30586987988352776592 (pow.f64 x -8)))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7))))
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 746208004415687336459/30586987988352776592 (pow.f64 x -7)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 168377530352551/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 746208004415687336459/30586987988352776592 (/.f64 1 (pow.f64 x 7))))
(-.f64 (fma.f64 (pow.f64 x -5) 168377530352551/8543989815576 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (*.f64 746208004415687336459/30586987988352776592 (pow.f64 x -7)))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))
(*.f64 70002721/5000000000 (pow.f64 x 8))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(/.f64 600041/2386628 (*.f64 x x))
0.0b
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
0.0b
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
0.6b
(/.f64 600041/2386628 (*.f64 x x))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 600041/2386628 (*.f64 x x))
0.0ms
x
@inf
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
0.0ms
x
@0
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
0.0ms
x
@-inf
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
0.0ms
x
@inf
(/.f64 600041/2386628 (*.f64 x x))

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
100×egg-rr
64×egg-rr
Counts
2 → 164
Calls
Call 1
Inputs
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 600041/2386628 (*.f64 x x)) 0) (/.f64 600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 600041/2386628 (*.f64 x x)) (*.f64 (/.f64 600041/2386628 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 600041/2386628 (*.f64 x x))) (/.f64 600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 600041/2386628 (*.f64 x x)) (*.f64 0 (/.f64 600041/2386628 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 x x))) (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 (*.f64 x x) 600041/2386628)) (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 600041/2386628 (*.f64 x x)) (/.f64 0 (/.f64 (*.f64 x x) 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 600041/2386628 (*.f64 x x))) (/.f64 (cbrt.f64 (/.f64 360049201681/5695993210384 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 360049201681/5695993210384 x)) x) (cbrt.f64 (/.f64 600041/2386628 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -600041/2386628 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) x) (/.f64 (sqrt.f64 600041/2386628) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 600041/2386628) (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 600041/2386628) x) (/.f64 (cbrt.f64 360049201681/5695993210384) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 600041/2386628 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 600041/2386628 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -600041/2386628 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) -600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x 4))) (*.f64 (sqrt.f64 600041/2386628) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 360049201681/5695993210384) x) (/.f64 (cbrt.f64 600041/2386628) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -600041/2386628 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 600041/2386628) (pow.f64 x -2)) (sqrt.f64 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) -1) (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) 1) (*.f64 (/.f64 (sqrt.f64 600041/2386628) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 600041/2386628)) (*.f64 (/.f64 -1 x) (sqrt.f64 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 600041/2386628)) (*.f64 (/.f64 1 x) (sqrt.f64 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 600041/2386628))) (*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 600041/2386628))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 600041/2386628))) (*.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 600041/2386628))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 600041/2386628) (/.f64 -1 x)) (*.f64 (sqrt.f64 600041/2386628) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 -1 x)) (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 600041/2386628)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (sqrt.f64 600041/2386628) x)) (*.f64 -1 (/.f64 (sqrt.f64 600041/2386628) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 600041/2386628 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 600041/2386628) (*.f64 (cbrt.f64 360049201681/5695993210384) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 360049201681/5695993210384) (pow.f64 x -2)) (cbrt.f64 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -600041/2386628 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 600041/2386628 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -600041/2386628 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 600041/2386628 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -600041/2386628 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 600041/2386628 (*.f64 x x))))) 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(neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 -600041/2386628 (*.f64 x x)) -1/2) (cbrt.f64 x)) (cbrt.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 600041/2386628 (*.f64 x x)) 3) 1/8) (/.f64 (*.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 4)) (+.f64 1/4 (/.f64 -600041/4773256 (*.f64 x x)))) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 600041/2386628 (*.f64 x x)) 3) 1/8) x)) (+.f64 (neg.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 4))) (-.f64 (/.f64 600041/4773256 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) (cbrt.f64 x))) (cbrt.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 600041/2386628 (pow.f64 x -2) 1/2) x) 3))))))

simplify134.0ms (1.4%)

Algorithm
egg-herbie
Counts
188 → 171
Calls
Call 1
Inputs
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 2))
(/.f64 600041/2386628 (*.f64 x x))
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -833192009/1250000000 (*.f64 x x))
0.0b
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
0.0b
(+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4)
0.0b
(-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3)
0.0b
(-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3)
0.0b
(+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4)
0.0b
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
0.1b
(*.f64 -833192009/1250000000 (*.f64 x x))
Compiler

Compiled 40 to 24 computations (40% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
0.0ms
x
@inf
(*.f64 -833192009/1250000000 (*.f64 x x))
0.0ms
x
@0
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
0.0ms
x
@0
(*.f64 -833192009/1250000000 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)

rewrite82.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
105×egg-rr
82×egg-rr
58×egg-rr
53×egg-rr
Counts
4 → 298
Calls
Call 1
Inputs
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
(+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4)
(-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x x) -2499576027/1250000000)) (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0) (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) (*.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x x) -2499576027/1250000000)) (*.f64 4 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -833192009/1250000000 (*.f64 x x))) (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) (*.f64 0 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -833192009/1250000000 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)) (cbrt.f64 -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) -833192009/1250000000) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 (*.f64 x x) (cbrt.f64 -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 -833192009/1250000000 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (+.f64 0 (*.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) 0))) (-.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -37 (*.f64 833192009/1250000000 (*.f64 x x))) 37)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 (*.f64 x x))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 694208923861456081/1562500000000000000)) (cbrt.f64 (*.f64 -833192009/1250000000 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simplify229.0ms (2.3%)

Algorithm
egg-herbie
Counts
346 → 307
Calls
Call 1
Inputs
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
-3
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
Outputs
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
-3
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 -833192009/1250000000 (*.f64 x x))
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)
(-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 2)) 3)
(fma.f64 -833192009/1250000000 (*.f64 x x) -3)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(/.f64 600041/2386628 x)
0.4b
(*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))
0.1b
(*.f64 (*.f64 x 2) (*.f64 x x))
0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x)))
0.1b
(*.f64 (*.f64 x 2) (*.f64 x x))
0.4b
(*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))
0.6b
(/.f64 600041/2386628 x)
21.4b
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
Compiler

Compiled 57 to 32 computations (43.9% saved)

series7.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (*.f64 x 2) (*.f64 x x))
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
1.0ms
x
@0
(*.f64 (*.f64 x 2) (*.f64 x x))
0.0ms
x
@0
(*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
100×egg-rr
58×egg-rr
53×egg-rr
38×egg-rr
Counts
4 → 249
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
(/.f64 600041/2386628 x)
(*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))
(*.f64 (*.f64 x 2) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (/.f64 (*.f64 x 600041/1193314) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (/.f64 (*.f64 x 600041/1193314) x)) (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) 0) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) (*.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (cbrt.f64 2)) -3)) (*.f64 (/.f64 (*.f64 x 600041/1193314) x) (pow.f64 (*.f64 x (cbrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 600041/1193314) x) (pow.f64 (*.f64 x (cbrt.f64 2)) -3)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (cbrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2))) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2)) (*.f64 0 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 -2 (pow.f64 x 3))) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (+.f64 x x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 x (cbrt.f64 2))) (pow.f64 (*.f64 x (cbrt.f64 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (+.f64 x x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) x) (/.f64 1 (*.f64 (+.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (*.f64 x (cbrt.f64 2))) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (*.f64 x (cbrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (*.f64 x 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(2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (+.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 8 (pow.f64 x 6)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 x 6))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2)) (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 (*.f64 x (cbrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (+.f64 x x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 2))) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (cbrt.f64 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 (+.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (*.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 x x) x)) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (*.f64 -2 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 x -2)) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) x) (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 x -2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 600041/1193314 x) x)) 2))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (*.f64 x (+.f64 (/.f64 600041/1193314 x) x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 x 600041/2386628)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (/.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 600041/2386628 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/2386628 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 600041/1193314 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 600041/1193314 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 600041/1193314) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (/.f64 x 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x -600041/1193314) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) x) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -600041/1193314) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 600041/1193314) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -600041/1193314) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 x 600041/2386628))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (/.f64 600041/2386628 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 600041/1193314) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x x) (cbrt.f64 x)) 600041/2386628) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 600041/1193314) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 2)) (cbrt.f64 (*.f64 x 600041/1193314))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 600041/2386628 (cbrt.f64 x)) (+.f64 x x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 600041/2386628) (*.f64 (cbrt.f64 (pow.f64 (/.f64 600041/2386628 x) 2)) (+.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -600041/2386628) (*.f64 (cbrt.f64 (pow.f64 (/.f64 600041/2386628 x) 2)) (+.f64 x x))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 600041/2386628 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 600041/1193314 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -600041/1193314 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -600041/1193314) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x 600041/1193314)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 x 600041/2386628) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 x 600041/2386628) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 x 600041/1193314) (cbrt.f64 x))) (neg.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) (neg.f64 (/.f64 x 600041/2386628)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 600041/1193314) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 600041/1193314) x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 600041/1193314) x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x -600041/1193314) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 600041/1193314) x) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) 2) 0) (*.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 (*.f64 (pow.f64 x 3) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 3) 2)) (*.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 2) (*.f64 0 (*.f64 (pow.f64 x 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (+.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x x)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x (cbrt.f64 2))) (neg.f64 (*.f64 (cbrt.f64 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4) (*.f64 x x)) (*.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 x x) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8))))))

simplify183.0ms (1.9%)

Algorithm
egg-herbie
Counts
285 → 256
Calls
Call 1
Inputs
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
Outputs
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
600041/1193314
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))
(*.f64 2 (pow.f64 x 3))

localize29.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -833192009/1250000000 (pow.f64 x 3))
0.1b
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.0b
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
0.0b
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
0.1b
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.1b
(*.f64 -833192009/1250000000 (pow.f64 x 3))
20.0b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
23.2b
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series4.0ms (0%)

Counts
3 → 17
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
1.0ms
x
@0
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.0ms
x
@-inf
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.0ms
x
@inf
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
47×egg-rr
33×egg-rr
23×egg-rr
Counts
3 → 103
Calls
Call 1
Inputs
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (cbrt.f64 (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (+.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) (cbrt.f64 (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (+.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 0) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 0 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 3321371254951887171/12500000000000000000) (*.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 3321371254951887171/12500000000000000000)) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5) 3321371254951887171/12500000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 2)) (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3321371254951887171/12500000000000000000 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (*.f64 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) 3321371254951887171/12500000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 5) (cbrt.f64 3321371254951887171/12500000000000000000)) (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 3321371254951887171/12500000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 3))))))

simplify116.0ms (1.2%)

Algorithm
egg-herbie
Counts
120 → 116
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
Outputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))

eval480.0ms (4.9%)

Compiler

Compiled 28188 to 16344 computations (42% saved)

prune140.0ms (1.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New9834987
Fresh224
Picked101
Done156
Total98711998
Error
0b
Counts
998 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
31.7b
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
31.8b
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
31.8b
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
31.8b
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
53.7b
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
31.6b
(/.f64 1/2 x)
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
30.9b
x
32.2b
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
31.5b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
Compiler

Compiled 517 to 223 computations (56.9% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
20.0b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
0.1b
(*.f64 -833192009/1250000000 (pow.f64 x 3))
0.1b
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.0b
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
0.0b
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
0.1b
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.1b
(*.f64 -833192009/1250000000 (pow.f64 x 3))
20.0b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
Compiler

Compiled 42 to 32 computations (23.8% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify46.0ms (0.5%)

Algorithm
egg-herbie
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -833192009/1250000000 (*.f64 x x))
0.0b
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
0.0b
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
0.1b
(*.f64 -833192009/1250000000 (*.f64 x x))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
0.0ms
x
@-inf
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
0.0ms
x
@inf
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)

rewrite36.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
49×egg-rr
Counts
1 → 49
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) (*.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 0) (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) (*.f64 0 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1)) (*.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 (*.f64 -833192009/1250000000 x) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) (cbrt.f64 x)) (pow.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 2/3) (fma.f64 (*.f64 -833192009/1250000000 x) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) x) (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2/3) (fma.f64 (*.f64 -833192009/1250000000 x) x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2/3) (*.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))) (/.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1) 1) (/.f64 x (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1) (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 2/3) (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1))) (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) (*.f64 x (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (/.f64 1 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1))) (neg.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) x) (neg.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) 1) (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) (*.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 x) x 1) 2/3) x)) (cbrt.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1)) 1) (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x 6) (*.f64 -833192009/1250000000 694208923861456081/1562500000000000000) 1))) (neg.f64 (+.f64 1 (fma.f64 694208923861456081/1562500000000000000 (pow.f64 x 4) (*.f64 833192009/1250000000 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 x 2/3) (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 2/3) (cbrt.f64 x) (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -833192009/1250000000 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 -833192009/1250000000 (*.f64 x x))))))))

simplify116.0ms (1.2%)

Algorithm
egg-herbie
Counts
61 → 53
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
Outputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
21.4b
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
0.1b
(*.f64 (*.f64 x 2) (*.f64 x x))
0.0b
(+.f64 (*.f64 x x) 600041/1193314)
0.0b
(+.f64 (*.f64 x x) 600041/1193314)
0.1b
(*.f64 (*.f64 x 2) (*.f64 x x))
21.4b
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
Compiler

Compiled 35 to 17 computations (51.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
0.0ms
x
@0
(+.f64 (*.f64 x x) 600041/1193314)
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
0.0ms
x
@inf
(+.f64 (*.f64 x x) 600041/1193314)

rewrite61.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
145×egg-rr
52×egg-rr
Counts
2 → 197
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
(+.f64 (*.f64 x x) 600041/1193314)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3)) 0) (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3)) (*.f64 (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) 600041/1193314) (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 x (cbrt.f64 2)) -3) 600041/1193314))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3))) (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (fma.f64 x x 600041/1193314) 1/2) (pow.f64 x 3)) 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(pow.f64 (pow.f64 x 6) 2) (*.f64 216044283025868921/1699277110464043144 (-.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144)) (cbrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 2))) (cbrt.f64 (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 6) 216044283025868921/1699277110464043144)) 1) (*.f64 (+.f64 (neg.f64 (pow.f64 x 4)) (*.f64 600041/1193314 (fma.f64 x x -600041/1193314))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 216044283025868921/1699277110464043144 3)) 1) (*.f64 (+.f64 (pow.f64 (pow.f64 x 6) 2) (*.f64 216044283025868921/1699277110464043144 (-.f64 216044283025868921/1699277110464043144 (pow.f64 x 6)))) (fma.f64 600041/1193314 (-.f64 600041/1193314 (*.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -600041/1193314 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 600041/1193314) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 600041/1193314) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 600041/1193314)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -600041/1193314 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 600041/1193314) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 600041/1193314) (sqrt.f64 600041/1193314) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (neg.f64 x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (*.f64 x x)) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -600041/1193314 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 600041/1193314)) (neg.f64 (sqrt.f64 600041/1193314)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 600041/1193314) (cbrt.f64 360049201681/1423998302596) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 600041/1193314 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 600041/1193314)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 360049201681/1423998302596) (cbrt.f64 600041/1193314) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 600041/1193314 1 (*.f64 x x))))))

simplify139.0ms (1.4%)

Algorithm
egg-herbie
Counts
221 → 207
Calls
Call 1
Inputs
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
600041/1193314
(+.f64 600041/1193314 (pow.f64 x 2))
(+.f64 600041/1193314 (pow.f64 x 2))
(+.f64 600041/1193314 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 600041/1193314 (pow.f64 x 2))
(+.f64 600041/1193314 (pow.f64 x 2))
(+.f64 600041/1193314 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 600041/1193314 (pow.f64 x 2))
(+.f64 600041/1193314 (pow.f64 x 2))
(+.f64 600041/1193314 (pow.f64 x 2))
Outputs
(/.f64 600041/2386628 (pow.f64 x 3))
(*.f64 600041/2386628 (pow.f64 x -3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))
600041/1193314
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)
(+.f64 600041/1193314 (pow.f64 x 2))
(fma.f64 x x 600041/1193314)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 833192009/1250000000 (*.f64 x x))
0.0b
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
0.0b
(-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)))
0.0b
(+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))
0.0b
(+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))
0.0b
(-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)))
0.0b
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
0.1b
(*.f64 833192009/1250000000 (*.f64 x x))
Compiler

Compiled 53 to 34 computations (35.8% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 833192009/1250000000 (*.f64 x x))
0.0ms
x
@0
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
0.0ms
x
@inf
(*.f64 833192009/1250000000 (*.f64 x x))
0.0ms
x
@inf
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
0.0ms
x
@0
(+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))

rewrite123.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
133×egg-rr
97×egg-rr
92×egg-rr
55×egg-rr
Counts
4 → 377
Calls
Call 1
Inputs
(*.f64 833192009/1250000000 (*.f64 x x))
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
(-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1)))
(+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 3 (*.f64 833192009/1250000000 (*.f64 x x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 27) 27)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 0) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) (*.f64 0 (*.f64 833192009/1250000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 833192009/1250000000 (*.f64 x x))) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (*.f64 x x) -833192009/1250000000)) (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 833192009/1250000000 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 27) 27)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 3 (*.f64 833192009/1250000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 833192009/1250000000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 x x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 833192009/1250000000)) (*.f64 x (sqrt.f64 833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 833192009/1250000000) x) (*.f64 (sqrt.f64 833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 833192009/1250000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 833192009/1250000000)) (sqrt.f64 833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 833192009/1250000000 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 833192009/1250000000) (*.f64 (sqrt.f64 833192009/1250000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) 833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 x x) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -833192009/1250000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 833192009/1250000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 833192009/1250000000 (*.f64 x x)) 1)))) 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simplify244.0ms (2.5%)

Algorithm
egg-herbie
Counts
425 → 389
Calls
Call 1
Inputs
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 833192009/1250000000 (pow.f64 x 2))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
2
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(*.f64 833192009/1250000000 (pow.f64 x 2))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
Outputs
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 -833192009/1250000000 x) x)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(*.f64 -833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 -833192009/1250000000 x) x)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -833192009/1250000000 1)
2
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(*.f64 833192009/1250000000 (pow.f64 x 2))
(*.f64 (*.f64 833192009/1250000000 x) x)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)
(+.f64 2 (*.f64 833192009/1250000000 (pow.f64 x 2)))
(fma.f64 833192009/1250000000 (*.f64 x x) 2)

localize38.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -833192009/1250000000 x)
0.1b
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
0.0b
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
0.0b
(+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)
0.1b
(*.f64 -833192009/1250000000 x)
0.1b
(*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x))
20.0b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))
23.2b
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
Compiler

Compiled 81 to 51 computations (37% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -833192009/1250000000 x)
0.0ms
x
@-inf
(*.f64 -833192009/1250000000 x)
0.0ms
x
@inf
(*.f64 -833192009/1250000000 x)
0.0ms
x
@0
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
0.0ms
x
@-inf
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))

rewrite68.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
48×egg-rr
34×egg-rr
30×egg-rr
26×egg-rr
Counts
4 → 138
Calls
Call 1
Inputs
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x))
(*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x))
(*.f64 -833192009/1250000000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x) (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 x (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (+.f64 (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) x) (*.f64 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(*.f64 (pow.f64 x 3) -833192009/1250000000) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 x 7) -9156128575487588197208397249/125000000000000000000000000000 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) -833192009/1250000000)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) (*.f64 (+.f64 x (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x))) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 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3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x))) (cbrt.f64 (pow.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -833192009/1250000000)) x)) 2)) (cbrt.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (+.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 0) (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) (*.f64 0 (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 694208923861456081/1562500000000000000 (pow.f64 x 6))) (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 -833192009/1250000000 x))) (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 -833192009/1250000000 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -833192009/1250000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -833192009/1250000000 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 833192009/1250000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -833192009/1250000000) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -833192009/1250000000 x) 0) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 x) (*.f64 (*.f64 -833192009/1250000000 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -833192009/1250000000 x)) (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -833192009/1250000000 x) (*.f64 0 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -833192009/1250000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -833192009/1250000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 694208923861456081/1562500000000000000)) (cbrt.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) (cbrt.f64 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -833192009/1250000000) (*.f64 (cbrt.f64 694208923861456081/1562500000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) -833192009/1250000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -833192009/1250000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -833192009/1250000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -833192009/1250000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (*.f64 -833192009/1250000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 -833192009/1250000000 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 x) 3))))))

simplify190.0ms (1.9%)

Algorithm
egg-herbie
Counts
174 → 154
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
Outputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (*.f64 -833192009/1250000000 (pow.f64 x 3))))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))
(*.f64 -833192009/1250000000 (pow.f64 x 3))

eval413.0ms (4.2%)

Compiler

Compiled 19856 to 14094 computations (29% saved)

prune120.0ms (1.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New102331026
Fresh101
Picked011
Done189
Total1025121037
Error
0b
Counts
1037 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
30.9b
x
31.7b
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
31.8b
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
31.8b
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
31.8b
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
53.7b
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
31.6b
(/.f64 1/2 x)
31.5b
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x))
29.3b
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
31.8b
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x)
32.2b
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Compiler

Compiled 459 to 181 computations (60.6% saved)

regimes71.0ms (0.7%)

Counts
24 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x)
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (pow.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) (*.f64 2 2))) 3) (/.f64 1 3))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 3 2)) 1789971/10000000000 (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 2532017/5000000000 (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 (*.f64 x x) 2) 3) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 3 2)) (fma.f64 (pow.f64 (*.f64 x x) (*.f64 2 2)) 70002721/5000000000 (fma.f64 (pow.f64 (*.f64 x x) 3) 694555761/10000000000 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x))))))))))
Outputs
(/.f64 1/2 x)
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Calls

2 calls:

34.0ms
x
18.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Results
ErrorSegmentsBranch
0.0b3x
0.5b2(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 998 to 386 computations (61.3% saved)

bsearch105.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
434.0116910138749
3940715.072406967
57.0ms
-30540458040.676582
-3.018783031278212
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes57.0ms (0.6%)

Counts
21 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x)
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 x x) (*.f64 -833192009/1250000000 x)) x)))
(+.f64 (*.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
Outputs
(/.f64 1/2 x)
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Calls

2 calls:

28.0ms
x
18.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Results
ErrorSegmentsBranch
0.0b3x
0.5b2(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 573 to 239 computations (58.3% saved)

bsearch94.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
434.0116910138749
3940715.072406967
47.0ms
-30540458040.676582
-3.018783031278212
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes34.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x)
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x))
Outputs
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x))
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Calls

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 147 to 90 computations (38.8% saved)

bsearch95.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
0.0029421815227809534
6.872454925652337
47.0ms
-3.018783031278212
-0.0057880256772278186
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes30.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x)
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) (/.f64 600041/2386628 x))) (*.f64 (*.f64 x 2) (*.f64 x x)))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 (fma.f64 -833192009/1250000000 (*.f64 x x) 1) x)
(+.f64 (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
Outputs
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 132 to 81 computations (38.6% saved)

bsearch103.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
0.0029421815227809534
6.872454925652337
49.0ms
-3.018783031278212
-0.0057880256772278186
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes18.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (+.f64 (-.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) 3) 4) x)
(*.f64 (-.f64 27 (-.f64 27 (+.f64 (*.f64 (*.f64 x x) -833192009/1250000000) 1))) x)
(/.f64 (+.f64 (*.f64 x x) 600041/1193314) (*.f64 (*.f64 x 2) (*.f64 x x)))
Outputs
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 72 to 42 computations (41.7% saved)

bsearch94.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
0.0029421815227809534
6.872454925652337
47.0ms
-3.018783031278212
-0.0057880256772278186
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes18.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
Outputs
(/.f64 1/2 x)
(*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x)
(/.f64 1/2 x)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch99.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
0.0029421815227809534
6.872454925652337
50.0ms
-3.018783031278212
-0.0057880256772278186
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes11.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
x
(/.f64 1/2 x)
Outputs
(/.f64 1/2 x)
x
(/.f64 1/2 x)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 8 to 4 computations (50% saved)

bsearch98.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
0.0029421815227809534
6.872454925652337
49.0ms
-3.018783031278212
-0.0057880256772278186
Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
30.9b1x
Compiler

Compiled 5 to 2 computations (60% saved)

simplify97.0ms (1%)

Algorithm
egg-herbie
Stop Event
fuel
Calls
Call 1
Inputs
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x)) x)) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (-.f64 3 (+.f64 3 (+.f64 (*.f64 833192009/1250000000 (*.f64 x x)) -1))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) (*.f64 (+.f64 1 (*.f64 -833192009/1250000000 (*.f64 x x))) x) (/.f64 1/2 x)))
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) x (/.f64 1/2 x)))
x
Outputs
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4))) 3)) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
(if (<=.f64 x -4002998916307561/131072) (/.f64 1/2 x) (if (<=.f64 x 7635214413767679/17592186044416) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) (+.f64 4 1)) 1789971/10000000000 (fma.f64 2532017/5000000000 (pow.f64 (*.f64 x x) 4) (fma.f64 36322091/5000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1049934947/10000000000 (*.f64 106015151/2500000000 (*.f64 x x)))))))) x) (fma.f64 1789971/5000000000 (pow.f64 (*.f64 x x) (+.f64 4 2)) (fma.f64 1665589/2000000000 (pow.f64 (*.f64 x x) (+.f64 4 1)) (fma.f64 70002721/5000000000 (pow.f64 (*.f64 x x) 4) (fma.f64 694555761/10000000000 (pow.f64 (*.f64 x x) 3) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 7715471019/10000000000 (*.f64 2909738639/10000000000 (*.f64 x x)))))))))) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
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(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x) (if (<=.f64 x 3392104348071081/1152921504606846976) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (/.f64 (+.f64 (/.f64 600041/2386628 (*.f64 x x)) 1/2) x)))
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(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) (/.f64 1/2 x)))
(if (<=.f64 x -3398847533694233/1125899906842624) (/.f64 1/2 x) (if (<=.f64 x 3392104348071081/1152921504606846976) x (/.f64 1/2 x)))
x
Compiler

Compiled 541 to 229 computations (57.7% saved)

soundness0.0ms (0%)

end174.0ms (1.8%)

Compiler

Compiled 534 to 212 computations (60.3% saved)

Profiling

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