Jmat.Real.dawson

Time bar (total: 2.2min)

start0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated

analyze1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 175 to 46 computations (73.7% saved)

sample3.5s (2.6%)

Memory
12.1MiB live, 4 375.6MiB allocated
Samples
2.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-mult: 1.1s (41.3% of total)
const: 1.1s (41.3% of total)
ival-add: 376.0ms (14.6% of total)
ival-div: 55.0ms (2.1% of total)
exact: 9.0ms (0.3% of total)
ival-true: 6.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain1.9min (85.4%)

Memory
41.0MiB live, 1 589.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1050-0-(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
590-0-(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
10-0-(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
098(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 (*.f64 x x) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-#s(literal 1049934947/10000000000 binary64)
00-0-#s(literal 70002721/5000000000 binary64)
085(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 2532017/5000000000 binary64)
00-0-(*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
098(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
094(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 7715471019/10000000000 binary64)
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-#s(literal 1789971/10000000000 binary64)
0103(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
00-0-#s(literal 694555761/10000000000 binary64)
00-0-(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 2909738639/10000000000 binary64)
059(-3.0468171976710856e+251)0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
059(-3.0468171976710856e+251)0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
00-0-#s(literal 106015151/2500000000 binary64)
094(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 x x)
00-0-#s(literal 36322091/5000000000 binary64)
00-0-#s(literal 1665589/2000000000 binary64)
00-0-(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
084(-3.0468171976710856e+251)0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
00-0-(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))nan-rescue1030
(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))overflow85
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow103
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow103
(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow98
(*.f64 (*.f64 x x) (*.f64 x x))overflow340
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))overflow282
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow98
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow196
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))overflow85
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))overflow59
(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))overflow94
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))overflow94
(*.f64 x x)overflow885
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow103
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))overflow59
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))overflow94
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow98
(*.f64 x x)overflow354
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow105
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow103
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow105
(*.f64 (*.f64 x x) (*.f64 x x))overflow85
/.f64(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))o/o1030
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))overflow282
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))overflow84
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))overflow84
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow103
(*.f64 x x)overflow885
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow98
(*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow98
(*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))overflow94
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+.f64(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))nan-rescue590
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))overflow59
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))overflow59
(*.f64 x x)overflow59
(*.f64 (*.f64 x x) (*.f64 x x))overflow85
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))overflow84
(*.f64 x x)overflow118
/.f64(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))n/o20
(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))overflow85
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow105
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow105
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow103
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow206
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow105
(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))overflow98
(*.f64 (*.f64 x x) (*.f64 x x))overflow425
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))overflow376
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow98
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))overflow294
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))overflow85
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))overflow59
(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))overflow94
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))overflow94
(*.f64 x x)overflow1239
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))overflow103
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))overflow59
*.f64(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))n*o10
Confusion
Predicted +Predicted -
+1050
-0151
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10500
-00151
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0151
12
25
44
69
826
1159
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
15.2s512×0valid
Compiler

Compiled 3 309 to 380 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
const: 66.0ms (44.1% of total)
ival-mult: 55.0ms (36.8% of total)
ival-add: 24.0ms (16.1% of total)
ival-div: 3.0ms (2% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess416.0ms (0.3%)

Memory
-8.4MiB live, 339.9MiB allocated
Algorithm
egg-herbie
Rules
29 768×lower-fma.f64
29 768×lower-fma.f32
5 826×lower-+.f32
5 804×lower-+.f64
5 382×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047345
1150215
2796155
33989145
044171
076171
1163107
257777
3242971
4457171
5470871
6482471
7509171
8540971
9541171
10742871
11794971
12798971
0803560
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 x (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))))))
Symmetry

(negabs x)

Compiler

Compiled 173 to 44 computations (74.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 173 to 44 computations (74.6% saved)

simplify492.0ms (0.4%)

Memory
-34.2MiB live, 289.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff640
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
cost-diff640
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
cost-diff640
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
cost-diff640
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
Rules
29 768×lower-fma.f64
29 768×lower-fma.f32
5 826×lower-+.f32
5 804×lower-+.f64
5 382×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0441034
0761034
1163666
2577496
32429460
44571454
54708454
64824454
75091454
85409454
95411454
107428454
117949454
127989454
08035396
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
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#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
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Outputs
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(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 10 binary64))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
#s(literal 7715471019/10000000000 binary64)
(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 2909738639/10000000000 binary64)
(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 694555761/10000000000 binary64)
(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
#s(literal 70002721/5000000000 binary64)
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
#s(literal 1665589/2000000000 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
#s(literal 1789971/5000000000 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 12 binary64))

localize170.0ms (0.1%)

Memory
17.2MiB live, 209.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1796875
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
accuracy0.2539549649726745
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy13.673567803624621
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
accuracy25.789700490580202
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
Samples
119.0ms256×0valid
Compiler

Compiled 1 046 to 46 computations (95.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 34.0ms (33.6% of total)
const: 33.0ms (32.6% of total)
ival-add: 32.0ms (31.7% of total)
ival-div: 2.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0%)

Memory
-28.9MiB live, 47.5MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) (patch (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) (patch (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 6) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (* 106015151/2500000000 (* (* x x) (* x x))) (* 1049934947/10000000000 (* x x)))
5.0ms
x
@inf
((* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (* 106015151/2500000000 (* (* x x) (* x x))) (* 1049934947/10000000000 (* x x)))
4.0ms
x
@-inf
((* (* (* x x) (* x x)) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)) (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (* 106015151/2500000000 (* (* x x) (* x x))) (* 1049934947/10000000000 (* x x)))

simplify125.0ms (0.1%)

Memory
15.9MiB live, 209.0MiB allocated
Algorithm
egg-herbie
Rules
7 782×lower-fma.f64
7 782×lower-fma.f32
2 758×lower-*.f64
2 758×lower-*.f32
1 906×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075560
1165560
2379552
31053552
42597552
55336552
08141540
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
Outputs
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3321371254951887171/12500000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) x)
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(pow x 12)
(pow.f64 x #s(literal 12 binary64))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x)
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 106015151/2500000000 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))

rewrite351.0ms (0.3%)

Memory
1.2MiB live, 314.4MiB allocated
Rules
7 952×lower-*.f32
7 916×lower-*.f64
6 738×lower-fma.f64
6 738×lower-fma.f32
2 898×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044422
076288
1304188
23038162
09943140
Stop Event
iter limit
node limit
iter limit
Counts
8 → 123
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(*.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 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
Outputs
(*.f64 (pow.f64 x #s(literal 5 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(*.f64 x (pow.f64 x #s(literal 7 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 4 binary64))
(pow.f64 x #s(literal 8 binary64))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) x)
(*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 8 binary64)))
(*.f64 x (pow.f64 x #s(literal 9 binary64)))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5 binary64))
(pow.f64 x #s(literal 10 binary64))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 10 binary64)) x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 10 binary64)))
(*.f64 x (*.f64 (pow.f64 x #s(literal 10 binary64)) x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 6 binary64))
(pow.f64 x #s(literal 12 binary64))
(exp.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (fma.f64 #s(literal 5735060247816145611/1000000000000000000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (-.f64 (pow.f64 (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))))
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eval137.0ms (0.1%)

Memory
27.0MiB live, 214.9MiB allocated
Compiler

Compiled 81 631 to 1 802 computations (97.8% saved)

prune84.0ms (0.1%)

Memory
3.3MiB live, 160.2MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New52812540
Fresh000
Picked011
Done000
Total52813541
Accuracy
100.0%
Counts
541 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
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59.0%
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57.4%
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64))) x)
53.8%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.6%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
53.5%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
25.6%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))) x)
54.4%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
53.5%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
47.2%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
47.3%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
Compiler

Compiled 803 to 408 computations (49.2% saved)

simplify289.0ms (0.2%)

Memory
-6.5MiB live, 348.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
cost-diff0
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
cost-diff0
(-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
cost-diff0
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
cost-diff6144
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
cost-diff6144
(fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff6464
(pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))
cost-diff34560
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))))))
Rules
27 650×lower-fma.f32
27 626×lower-fma.f64
4 862×lower-*.f32
4 850×lower-*.f64
4 676×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0901648
01351408
12951132
210331004
35282924
47907924
08376913
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))))) x)
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))))))
(-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 2532017/5000000000 binary64)
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
(fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 36322091/5000000000 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(literal 106015151/2500000000 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1049934947/10000000000 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
#s(literal 1789971/10000000000 binary64)
(pow.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
(*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(literal 1789971/5000000000 binary64)
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 694555761/10000000000 binary64)
(fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(literal 2909738639/10000000000 binary64)
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 7715471019/10000000000 binary64)
(-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(literal 600041/2386628 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -833192009/1250000000 binary64)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))))) x)
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1789971/10000000000 binary64) x) x #s(literal 2532017/5000000000 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) #s(literal 1 binary64)))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64) #s(literal 70002721/5000000000 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1789971/10000000000 binary64) x) x #s(literal 2532017/5000000000 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64) #s(literal 70002721/5000000000 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))
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#s(literal 1 binary64)
x
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(*.f64 x x)
x
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
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(*.f64 x x)
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#s(literal -1/2 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -833192009/1250000000 binary64)

localize661.0ms (0.5%)

Memory
32.6MiB live, 570.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0703125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
accuracy29.740534378654008
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accuracy0
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accuracy0.05078125
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accuracy0.3313108727884806
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
accuracy33.780128412518515
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accuracy0
(*.f64 x x)
accuracy0.046875
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accuracy13.673567803624621
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accuracy29.657393465522198
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accuracy13.673567803624621
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accuracy29.05115404387534
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accuracy13.673567803624621
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accuracy24.503703961360166
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accuracy26.765790676775136
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accuracy27.003683319662215
(-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))
Samples
252.0ms256×0valid
Compiler

Compiled 1 710 to 95 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
const: 81.0ms (37.3% of total)
ival-mult: 65.0ms (30% of total)
ival-add: 38.0ms (17.5% of total)
ival-pow: 16.0ms (7.4% of total)
ival-div: 6.0ms (2.8% of total)
ival-pow2: 6.0ms (2.8% of total)
ival-sub: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0%)

Memory
-0.9MiB live, 119.4MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
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#s(alt (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (patch (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))))) #<representation binary64>) () ())
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Outputs
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#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))))) (patch (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
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4.0ms
x
@-inf
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(* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (+ (* (pow x 3) -833192009/1250000000) x) (pow x 3) (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x))
4.0ms
x
@0
((/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (pow (* 1789971/10000000000 (pow x 10)) 2) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1))))) (* (/ (+ (+ (+ (+ (+ 1 (* 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36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x))

simplify206.0ms (0.2%)

Memory
10.5MiB live, 238.3MiB allocated
Algorithm
egg-herbie
Rules
15 662×lower-fma.f64
15 662×lower-fma.f32
5 354×lower-*.f64
5 354×lower-*.f32
2 914×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01902298
14712250
211712235
331932230
479182230
080762125
Stop Event
iter limit
node limit
Counts
240 → 234
Calls
Call 1
Inputs
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
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1
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
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1
(+ 1 (* -833192009/1250000000 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
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(/ 600041/2386628 (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* 1049934947/5000000000 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 1049934947/5000000000 (* (pow x 2) (+ 9583575472931892809/100000000000000000000 (* 292919466946381997/12500000000000000000 (pow x 2)))))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* 3203996180841/100000000000000000000 (pow x 20))
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(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 106015151/2500000000 (pow x 4))
(* (pow x 4) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
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(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 (pow x 2))
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(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
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(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
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(pow x 2)
(pow x 2)
(pow x 2)
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
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(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 600041/2386628 (pow x 2))
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(* -833192009/1250000000 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -3203996180841/100000000000000000000 (pow x 20))
(* (pow x 20) (- (* 6411110088289/25000000000000000000 (/ 1 (pow x 4))) 3203996180841/100000000000000000000))
(* (pow x 20) (- (+ (/ 91968151887547/12500000000000000000 (pow x 6)) (* 6411110088289/25000000000000000000 (/ 1 (pow x 4)))) 3203996180841/100000000000000000000))
(* (pow x 20) (- (+ (/ 91968151887547/12500000000000000000 (pow x 6)) (+ (* 6411110088289/25000000000000000000 (/ 1 (pow x 4))) (* 2393022952970549/25000000000000000000 (/ 1 (pow x 8))))) 3203996180841/100000000000000000000))
(* -1789971/10000000000 (pow x 10))
(* (pow x 10) (- (* 2532017/5000000000 (/ 1 (pow x 2))) 1789971/10000000000))
(* (pow x 10) (- (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2)))) 1789971/10000000000))
(* (pow x 10) (- (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6))))) 1789971/10000000000))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 3203996180841/100000000000000000000 (pow x 20))
(* 106015151/2500000000 (pow x 4))
(* (pow x 4) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 106015151/2500000000 (+ (* 1049934947/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 106015151/2500000000 (+ (* 1049934947/10000000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1665589/2000000000 (pow x 10))
(* (pow x 10) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (* 70002721/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1665589/2000000000 (+ (/ 694555761/10000000000 (pow x 4)) (+ (* 70002721/5000000000 (/ 1 (pow x 2))) (* 2909738639/10000000000 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* -833192009/1250000000 (pow x 3))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -3203996180841/100000000000000000000 (pow x 20))
(* (pow x 20) (- (* 6411110088289/25000000000000000000 (/ 1 (pow x 4))) 3203996180841/100000000000000000000))
(* (pow x 20) (- (+ (/ 91968151887547/12500000000000000000 (pow x 6)) (* 6411110088289/25000000000000000000 (/ 1 (pow x 4)))) 3203996180841/100000000000000000000))
(* (pow x 20) (- (+ (/ 91968151887547/12500000000000000000 (pow x 6)) (+ (* 6411110088289/25000000000000000000 (/ 1 (pow x 4))) (* 2393022952970549/25000000000000000000 (/ 1 (pow x 8))))) 3203996180841/100000000000000000000))
(* -1789971/10000000000 (pow x 10))
(* (pow x 10) (- (* 2532017/5000000000 (/ 1 (pow x 2))) 1789971/10000000000))
(* (pow x 10) (- (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2)))) 1789971/10000000000))
(* (pow x 10) (- (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6))))) 1789971/10000000000))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 3203996180841/100000000000000000000 (pow x 20))
(*.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 3203996180841/100000000000000000000 binary64))
(* 3203996180841/100000000000000000000 (pow x 20))
(*.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 3203996180841/100000000000000000000 binary64))
(* 3203996180841/100000000000000000000 (pow x 20))
(*.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 3203996180841/100000000000000000000 binary64))
(* 3203996180841/100000000000000000000 (pow x 20))
(*.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 3203996180841/100000000000000000000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/5000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/5000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/5000000000 (* 9583575472931892809/100000000000000000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 9583575472931892809/100000000000000000000 binary64) (*.f64 x x) #s(literal 1049934947/5000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/5000000000 (* (pow x 2) (+ 9583575472931892809/100000000000000000000 (* 292919466946381997/12500000000000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 292919466946381997/12500000000000000000 binary64) (*.f64 x x) #s(literal 9583575472931892809/100000000000000000000 binary64)) (*.f64 x x) #s(literal 1049934947/5000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
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(* (pow x 10) (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))))
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(/ 1/2 x)
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(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
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(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
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(/ 1/2 (pow x 2))
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
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(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
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(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
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(pow x 2)
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(/ 1/2 x)
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
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(/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
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(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
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(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
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(/ 1/2 x)
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(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
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(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(* -833192009/1250000000 (pow x 3))
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(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
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(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -3203996180841/100000000000000000000 (pow x 20))
(*.f64 #s(literal -3203996180841/100000000000000000000 binary64) (pow.f64 x #s(literal 20 binary64)))
(* (pow x 20) (- (* 6411110088289/25000000000000000000 (/ 1 (pow x 4))) 3203996180841/100000000000000000000))
(*.f64 (-.f64 (/.f64 #s(literal 6411110088289/25000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3203996180841/100000000000000000000 binary64)) (pow.f64 x #s(literal 20 binary64)))
(* (pow x 20) (- (+ (/ 91968151887547/12500000000000000000 (pow x 6)) (* 6411110088289/25000000000000000000 (/ 1 (pow x 4)))) 3203996180841/100000000000000000000))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 91968151887547/12500000000000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 6411110088289/25000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3203996180841/100000000000000000000 binary64)) (pow.f64 x #s(literal 20 binary64)))
(* (pow x 20) (- (+ (/ 91968151887547/12500000000000000000 (pow x 6)) (+ (* 6411110088289/25000000000000000000 (/ 1 (pow x 4))) (* 2393022952970549/25000000000000000000 (/ 1 (pow x 8))))) 3203996180841/100000000000000000000))
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(* -1789971/10000000000 (pow x 10))
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(* (pow x 10) (- (* 2532017/5000000000 (/ 1 (pow x 2))) 1789971/10000000000))
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(* (pow x 10) (- (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6))))) 1789971/10000000000))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1789971/10000000000 binary64)) (pow.f64 x #s(literal 10 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) x))

rewrite330.0ms (0.2%)

Memory
-32.9MiB live, 400.0MiB allocated
Rules
7 304×lower-fma.f32
7 280×lower-fma.f64
3 968×lower-*.f32
3 956×lower-*.f64
2 502×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0901382
0135806
1768654
27099654
08116641
Stop Event
iter limit
node limit
iter limit
Counts
20 → 492
Calls
Call 1
Inputs
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(pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
#s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))
(-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))))) x)
Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -3203996180841/100000000000000000000 binary64) (pow.f64 x #s(literal 20 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -3203996180841/100000000000000000000 binary64) (pow.f64 x #s(literal 20 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))) (fma.f64 #s(literal -3203996180841/100000000000000000000 binary64) (pow.f64 x #s(literal 20 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal -1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 3 binary64)) #s(literal 5735060247816145611/125000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))) (pow.f64 (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -3203996180841/100000000000000000000 binary64) (pow.f64 x #s(literal 20 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))) (pow.f64 (fma.f64 #s(literal -1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
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eval774.0ms (0.6%)

Memory
7.9MiB live, 757.5MiB allocated
Compiler

Compiled 60 712 to 3 196 computations (94.7% saved)

prune345.0ms (0.3%)

Memory
-15.3MiB live, 750.7MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New8509859
Fresh527
Picked325
Done011
Total85814872
Accuracy
100.0%
Counts
872 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
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59.0%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
53.8%
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.6%
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.4%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
47.1%
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
47.3%
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
53.5%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
47.2%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
25.8%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) x) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
24.6%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
19.6%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
Compiler

Compiled 591 to 332 computations (43.8% saved)

simplify233.0ms (0.2%)

Memory
4.8MiB live, 239.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
cost-diff0
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
cost-diff0
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
cost-diff0
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
cost-diff0
(fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(pow.f64 x #s(literal 10 binary64))
cost-diff0
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
cost-diff6144
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
cost-diff6144
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))))
Rules
28 770×lower-fma.f32
28 742×lower-fma.f64
5 048×lower-*.f32
5 042×lower-*.f64
4 796×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01241185
01751109
1404971
21286925
36065828
08175828
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x)
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))))
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
#s(literal 1789971/10000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 36322091/5000000000 binary64)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64))
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal 1789971/5000000000 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
#s(literal 70002721/5000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
#s(literal 694555761/10000000000 binary64)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
#s(literal 3321371254951887171/12500000000000000000 binary64)
(*.f64 x x)
x
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 106015151/2500000000 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) x)) x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64))))) x x) (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 70002721/5000000000 binary64) x) x #s(literal 694555761/10000000000 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2909738639/10000000000 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x)
(fma.f64 (fma.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 106015151/2500000000 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) x)) x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64))))) x x)
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64) #s(literal 2532017/5000000000 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 106015151/2500000000 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) x)) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) #s(literal 1 binary64))))
(pow.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
#s(literal 1789971/10000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 106015151/2500000000 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) x)) x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) #s(literal 1 binary64))))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 2532017/5000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 106015151/2500000000 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) x)) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) #s(literal 1 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 36322091/5000000000 binary64)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64))
(fma.f64 (*.f64 #s(literal 106015151/2500000000 binary64) x) x #s(literal 1049934947/10000000000 binary64))
#s(literal 106015151/2500000000 binary64)
#s(literal 1049934947/10000000000 binary64)
#s(literal 1 binary64)
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 70002721/5000000000 binary64) x) x #s(literal 694555761/10000000000 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2909738639/10000000000 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x #s(literal 1 binary64)))))
(pow.f64 x #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal 1789971/5000000000 binary64)
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 70002721/5000000000 binary64) x) x #s(literal 694555761/10000000000 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2909738639/10000000000 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x #s(literal 1 binary64))))
#s(literal 1665589/2000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 70002721/5000000000 binary64) x) x #s(literal 694555761/10000000000 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2909738639/10000000000 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x #s(literal 1 binary64)))
#s(literal 70002721/5000000000 binary64)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2909738639/10000000000 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) #s(literal 1 binary64)))
#s(literal 694555761/10000000000 binary64)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2909738639/10000000000 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
(fma.f64 (*.f64 #s(literal 2909738639/10000000000 binary64) x) x #s(literal 7715471019/10000000000 binary64))
#s(literal 2909738639/10000000000 binary64)
#s(literal 7715471019/10000000000 binary64)
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
#s(literal 3321371254951887171/12500000000000000000 binary64)
(*.f64 x x)
x
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize366.0ms (0.3%)

Memory
9.0MiB live, 545.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy0.015625
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
accuracy17.498978935922086
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy33.780128412518515
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
accuracy0.05078125
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
accuracy0.0703125
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
accuracy14.038117151020062
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
accuracy33.780128412518515
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.109375
(fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
accuracy13.673567803624621
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
accuracy29.157651253559024
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1/2 binary64) x)
accuracy33.73276857995915
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
accuracy0.04296875
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64))
accuracy0.1015625
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
accuracy25.716152302312114
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
Samples
219.0ms256×0valid
Compiler

Compiled 1 148 to 126 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 68.0ms (35.9% of total)
const: 45.0ms (23.8% of total)
ival-add: 38.0ms (20.1% of total)
ival-pow: 16.0ms (8.5% of total)
ival-div: 13.0ms (6.9% of total)
ival-pow2: 5.0ms (2.6% of total)
ival-sub: 3.0ms (1.6% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0%)

Memory
6.8MiB live, 44.2MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))) (patch (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 10 binary64)) (patch (pow.f64 x #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
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#s(alt #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) (patch #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) #<representation binary64>) () ())
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Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1049934947/10000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 7715471019/10000000000 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))) (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (pow x 10) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ 1/2 x) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (+ (* (+ (* 3321371254951887171/12500000000000000000 (* x x)) -833192009/1250000000) (* x x)) 1) (+ (* 3321371254951887171/12500000000000000000 (* x x)) -833192009/1250000000) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (- (/ 600041/2386628 (* x x)) -1/2) (/ (/ (+ (* 1/2 (* x x)) 600041/2386628) x) x) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/ (+ (* 1/2 (* x x)) 600041/2386628) (pow x 3)) (+ (* 1/2 (* x x)) 600041/2386628) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)) (/ (+ (* 1/2 (* x x)) 600041/2386628) x))
6.0ms
x
@0
((+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))) (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (pow x 10) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ 1/2 x) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (+ (* (+ (* 3321371254951887171/12500000000000000000 (* x x)) -833192009/1250000000) (* x x)) 1) (+ (* 3321371254951887171/12500000000000000000 (* x x)) -833192009/1250000000) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (- (/ 600041/2386628 (* x x)) -1/2) (/ (/ (+ (* 1/2 (* x x)) 600041/2386628) x) x) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/ (+ (* 1/2 (* x x)) 600041/2386628) (pow x 3)) (+ (* 1/2 (* x x)) 600041/2386628) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)) (/ (+ (* 1/2 (* x x)) 600041/2386628) x))
4.0ms
x
@-inf
((+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1))) (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (pow x 10) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ 1/2 x) (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (+ (* (+ (* 3321371254951887171/12500000000000000000 (* x x)) -833192009/1250000000) (* x x)) 1) (+ (* 3321371254951887171/12500000000000000000 (* x x)) -833192009/1250000000) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (- (/ 600041/2386628 (* x x)) -1/2) (/ (/ (+ (* 1/2 (* x x)) 600041/2386628) x) x) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/ (+ (* 1/2 (* x x)) 600041/2386628) (pow x 3)) (+ (* 1/2 (* x x)) 600041/2386628) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)) (/ (+ (* 1/2 (* x x)) 600041/2386628) x))

simplify178.0ms (0.1%)

Memory
-2.6MiB live, 111.5MiB allocated
Algorithm
egg-herbie
Rules
10 836×lower-fma.f64
10 836×lower-fma.f32
4 002×lower-*.f64
4 002×lower-*.f32
2 336×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01682482
14622452
211332434
330452254
456412254
080672144
Stop Event
iter limit
node limit
Counts
264 → 259
Calls
Call 1
Inputs
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
-833192009/1250000000
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
600041/2386628
(+ 600041/2386628 (* 1/2 (pow x 2)))
(+ 600041/2386628 (* 1/2 (pow x 2)))
(+ 600041/2386628 (* 1/2 (pow x 2)))
7715471019/10000000000
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
1049934947/10000000000
(+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))
(+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))
(+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(/ 600041/2386628 x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* 106015151/2500000000 (pow x 2))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(pow x 10)
(pow x 10)
(pow x 10)
(pow x 10)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(* 106015151/2500000000 (pow x 2))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x) #s(literal 106015151/2500000000 binary64)) (*.f64 x x) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 x x) #s(literal 7715471019/10000000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
(pow x 10)
(pow.f64 x #s(literal 10 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
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(-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 600041/2386628 binary64))
(* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 600041/2386628 binary64))
(* 2909738639/10000000000 (pow x 2))
(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 2909738639/10000000000 (* 7715471019/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* 106015151/2500000000 (pow x 2))
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* (pow x 2) (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 36322091/5000000000 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) #s(literal 36322091/5000000000 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 36322091/5000000000 binary64)) (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 36322091/5000000000 binary64)) (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))

rewrite530.0ms (0.4%)

Memory
-4.3MiB live, 227.1MiB allocated
Rules
8 318×lower-fma.f32
8 290×lower-fma.f64
5 146×lower-*.f32
5 140×lower-*.f64
3 152×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124981
0175747
11120618
08378613
Stop Event
iter limit
node limit
iter limit
Counts
22 → 547
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
(pow.f64 x #s(literal 10 binary64))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
(fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
Outputs
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 3203996180841/100000000000000000000 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))))))
(*.f64 (fma.f64 #s(literal 5735060247816145611/1000000000000000000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 20 binary64)) #s(literal 3203996180841/100000000000000000000 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (-.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 106015151/2500000000 binary64) (fma.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) x))

eval211.0ms (0.2%)

Memory
2.9MiB live, 315.8MiB allocated
Compiler

Compiled 40 647 to 3 306 computations (91.9% saved)

prune208.0ms (0.2%)

Memory
32.4MiB live, 435.4MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New8584862
Fresh246
Picked235
Done033
Total86214876
Accuracy
100.0%
Counts
876 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
59.0%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
53.8%
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.6%
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.4%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
47.1%
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
47.3%
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
19.8%
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))))
53.5%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
47.2%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
24.2%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x))) x))
24.5%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
Compiler

Compiled 517 to 290 computations (43.9% saved)

simplify229.0ms (0.2%)

Memory
-29.6MiB live, 298.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
cost-diff0
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
cost-diff0
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
cost-diff128
(/.f64 #s(literal 1 binary64) (neg.f64 x))
cost-diff128
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))
cost-diff320
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)
cost-diff0
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
Rules
20 812×lower-fma.f32
20 802×lower-fma.f64
4 490×lower-*.f32
4 482×lower-*.f64
4 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461158
01841038
1439901
21415827
36602763
08231696
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
#s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)
(*.f64 x x)
x
#s(literal 3321371254951887171/12500000000000000000 binary64)
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -833192009/1250000000 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
(neg.f64 x)
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
#s(literal 1307076337763/8543989815576 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1307076337763/8543989815576 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
#s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)
(*.f64 x x)
x
#s(literal 3321371254951887171/12500000000000000000 binary64)
#s(literal -833192009/1250000000 binary64)
#s(literal 1 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -833192009/1250000000 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x)
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x)
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x))
#s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x)
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -600041/2386628 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal 1 binary64)
(neg.f64 x)
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
#s(literal 1307076337763/8543989815576 binary64)
(*.f64 x x)
x
#s(literal 600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1307076337763/8543989815576 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -600041/2386628 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize407.0ms (0.3%)

Memory
35.7MiB live, 621.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
accuracy0.318315075485729
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy0.5477638376395528
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy33.823007359250575
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
accuracy0.0234375
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
accuracy0.284780065717287
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.29499473888934924
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
accuracy33.823007359250575
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy0.05078125
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x)
accuracy0.0703125
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)
accuracy14.058312170556947
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
accuracy33.780128412518515
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
accuracy0
(*.f64 x x)
accuracy0.0625
(*.f64 (*.f64 x x) x)
accuracy0.0703125
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)
accuracy29.740534378654008
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
accuracy0.15625
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
accuracy13.673567803624621
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
accuracy29.47223635947113
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Samples
339.0ms256×0valid
Compiler

Compiled 1 047 to 145 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-mult: 109.0ms (38.8% of total)
const: 58.0ms (20.7% of total)
ival-add: 41.0ms (14.6% of total)
ival-div: 31.0ms (11% of total)
ival-pow: 25.0ms (8.9% of total)
ival-pow2: 8.0ms (2.8% of total)
ival-sub: 5.0ms (1.8% of total)
ival-neg: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0%)

Memory
0.3MiB live, 74.7MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)) (patch #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (patch (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (patch (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 x)) (patch (/.f64 #s(literal 1 binary64) (neg.f64 x)) #<representation binary64>) () ())
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#s(alt #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))) (patch #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())
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Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -833192009/1250000000 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 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5.0ms
x
@inf
((* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 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4.0ms
x
@-inf
((* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (+ (* (+ (* (+ (* -9156128575487588197208397249/125000000000000000000000000000 (* x x)) 3321371254951887171/12500000000000000000) (* x x)) -833192009/1250000000) (* x x)) 1) (+ (* (+ (* -9156128575487588197208397249/125000000000000000000000000000 (* x x)) 3321371254951887171/12500000000000000000) (* x x)) -833192009/1250000000) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (+ (* (* (* x x) x) -833192009/1250000000) x) (* x x) (* (* x x) x) (* (neg (+ (* 1/2 (* x x)) 600041/2386628)) (/ 1 (neg x))) (neg (+ (* 1/2 (* x x)) 600041/2386628)) (/ 1 (neg x)) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (- (/ (+ (/ 1307076337763/8543989815576 (pow x 4)) 1/2) x) (/ -600041/2386628 (pow x 3))) (/ (+ (/ 1307076337763/8543989815576 (pow x 4)) 1/2) x) (+ (/ 1307076337763/8543989815576 (pow x 4)) 1/2) (+ (* -9156128575487588197208397249/125000000000000000000000000000 (* x x)) 3321371254951887171/12500000000000000000) (/ (* (neg (+ (* 1/2 (* x x)) 600041/2386628)) (/ 1 (neg x))) x) (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/ 1307076337763/8543989815576 (* x x)) (/ 1307076337763/8543989815576 (pow x 4)) (/ -600041/2386628 (pow x 3)))

simplify156.0ms (0.1%)

Memory
-4.5MiB live, 265.5MiB allocated
Algorithm
egg-herbie
Rules
8 432×lower-fma.f64
8 432×lower-fma.f32
4 040×lower-*.f64
4 040×lower-*.f32
2 504×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01272682
12832634
26982615
320082498
463952498
080512385
Stop Event
iter limit
node limit
Counts
312 → 306
Calls
Call 1
Inputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
-833192009/1250000000
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)
(- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 600041/2386628 x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
-600041/2386628
(- (* -1/2 (pow x 2)) 600041/2386628)
(- (* -1/2 (pow x 2)) 600041/2386628)
(- (* -1/2 (pow x 2)) 600041/2386628)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1307076337763/8543989815576 (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/ 1307076337763/8543989815576 (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ 1307076337763/8543989815576 (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1307076337763/8543989815576 (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/ 1307076337763/8543989815576 (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 5))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 5))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 4))
3321371254951887171/12500000000000000000
(+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))
(+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))
(+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(* -833192009/1250000000 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
600041/2386628
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
1/2
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* -833192009/1250000000 (pow x 3))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/2 x)
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* x (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/ 600041/2386628 (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 3))
600041/2386628
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/ 1/2 x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
1/2
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ 1307076337763/8543989815576 (pow x 4))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
(/ -600041/2386628 (pow x 3))
Outputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)
(fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 600041/2386628 binary64) x))
-600041/2386628
#s(literal -600041/2386628 binary64)
(- (* -1/2 (pow x 2)) 600041/2386628)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -600041/2386628 binary64))
(- (* -1/2 (pow x 2)) 600041/2386628)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -600041/2386628 binary64))
(- (* -1/2 (pow x 2)) 600041/2386628)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -600041/2386628 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) x) x)
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) x) x)
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) x) x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 #s(literal 600041/2386628 binary64) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 5))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 5))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 1/2 (pow x 4))) (pow x 5))
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(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1307076337763/8543989815576 (/ 1 (pow x 4))))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ -600041/2386628 (pow x 3))
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ -600041/2386628 (pow x 3))
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ -600041/2386628 (pow x 3))
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ -600041/2386628 (pow x 3))
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))

rewrite205.0ms (0.2%)

Memory
-39.6MiB live, 301.6MiB allocated
Rules
7 160×lower-fma.f32
7 150×lower-fma.f64
4 804×lower-*.f32
4 796×lower-*.f64
3 264×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461085
0184807
11245766
08714677
Stop Event
iter limit
node limit
iter limit
Counts
26 → 331
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x)
(*.f64 x x)
(*.f64 (*.f64 x x) x)
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)
(/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x)
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
Outputs
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x) x)))
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(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2386628/600041 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2386628/600041 binary64))))
(/.f64 #s(literal -600041/2386628 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2386628/600041 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2386628/600041 binary64)))
(neg.f64 (*.f64 #s(literal 600041/2386628 binary64) (pow.f64 x #s(literal -3 binary64))))

eval5.5s (4.1%)

Memory
55.8MiB live, 1 712.7MiB allocated
Compiler

Compiled 13 683 to 2 020 computations (85.2% saved)

prune1.3s (1%)

Memory
-227.6MiB live, 1 799.4MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New7152717
Fresh033
Picked325
Done066
Total71813731
Accuracy
100.0%
Counts
731 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1789971/10000000000 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 2532017/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 36322091/5000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) #s(literal 1049934947/10000000000 binary64)) #s(literal 1 binary64))))) x) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1789971/5000000000 binary64) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 70002721/5000000000 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 694555761/10000000000 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64) #s(literal 7715471019/10000000000 binary64)) #s(literal 1 binary64)))))))
59.0%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
53.8%
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.6%
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
54.4%
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
12.4%
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
47.3%
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
19.8%
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))))
53.5%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
47.1%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
47.2%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
24.2%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x))) x))
24.5%
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -600041/2386628 binary64)) (/.f64 #s(literal -1 binary64) x)) x)) x))
Compiler

Compiled 1 119 to 386 computations (65.5% saved)

regimes22.0ms (0%)

Memory
6.9MiB live, 45.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
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(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 1665589/2000000000 binary64) (pow.f64 x #s(literal 10 binary64)) (fma.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 2909738639/10000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (pow.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 36322091/5000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64))) x)
Outputs
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#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

10.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
8.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
99.2%2(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.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 174 to 45 computations (74.1% saved)

regimes20.0ms (0%)

Memory
4.1MiB live, 42.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
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#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) x) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -600041/2386628 binary64)) (/.f64 #s(literal -1 binary64) x)) x)) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -600041/2386628 binary64) (pow.f64 x #s(literal 3 binary64)))))
Outputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)) #s(literal -1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
Calls

2 calls:

8.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
7.0ms
x
Results
AccuracySegmentsBranch
95.3%2(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
99.0%2x
Compiler

Compiled 174 to 45 computations (74.1% saved)

regimes11.0ms (0%)

Memory
-20.5MiB live, 18.2MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
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Outputs
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Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
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#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
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(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) x) x)) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) x) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
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#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) x)) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -833192009/1250000000 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)))))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) #s(approx (/ (- (/ 600041/2386628 (* x x)) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (pow x 10) 1789971/10000000000) (+ (* (pow x 8) 2532017/5000000000) (+ (* (pow x 6) 36322091/5000000000) (+ (* (* x x) (+ (* (* x x) 106015151/2500000000) 1049934947/10000000000)) 1)))) x) (+ (* (pow x 12) 1789971/5000000000) (+ (* 1665589/2000000000 (pow x 10)) (+ (* (pow x 8) 70002721/5000000000) (+ (* (pow x 6) 694555761/10000000000) (+ (* (* x x) (+ (* (* x x) 2909738639/10000000000) 7715471019/10000000000)) 1)))))) #s(approx (- (/ (+ (/ 1307076337763/8543989815576 (* x x)) 600041/2386628) (pow x 3)) (/ -1/2 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) (pow.f64 x #s(literal 5 binary64)))))
Outputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(approx (- (/ 600041/2386628 (* x x)) -1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 600041/2386628 binary64)) (*.f64 x x))) x))
Outputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes22.0ms (0%)

Memory
-42.4MiB live, 7.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(*.f64 #s(approx (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
Outputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64) #s(literal 1 binary64))) x)
Outputs
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -833192009/1250000000 binary64) x))
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ (- (pow (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) 2) (pow (* 1789971/10000000000 (pow x 10)) 2)) (* (+ (* 1789971/5000000000 (pow x 12)) (+ (* 1665589/2000000000 (pow x 10)) (+ (* 70002721/5000000000 (pow x 8)) (+ (* 694555761/10000000000 (pow x 6)) (+ (* 2909738639/10000000000 (pow x 4)) (+ (* 7715471019/10000000000 (* x x)) 1)))))) (- (+ (* 2532017/5000000000 (pow x 8)) (+ (* 36322091/5000000000 (pow x 6)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 1049934947/10000000000 (* x x)) 1)))) (* 1789971/10000000000 (pow x 10))))) x) (/.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
#s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 #s(literal 1/2 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.8%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
Outputs
(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)
Calls

2 calls:

2.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
1.0ms
x
Results
AccuracySegmentsBranch
54.4%1(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
54.4%1x
Compiler

Compiled 174 to 45 computations (74.1% saved)

bsearch27.0ms (0%)

Memory
-19.4MiB live, 19.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
24.0ms
33551.36989724126
121992039505.52768
Samples
9.0ms32×0valid
Compiler

Compiled 530 to 148 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
const: 4.0ms (47.7% of total)
ival-mult: 3.0ms (35.8% of total)
ival-add: 1.0ms (11.9% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0%)

Memory
32.1MiB live, 67.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
0.3459588884118556
2.9783303933715715
Samples
33.0ms96×0valid
Compiler

Compiled 422 to 222 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
const: 14.0ms (47.1% of total)
ival-mult: 10.0ms (33.7% of total)
ival-add: 4.0ms (13.5% of total)
ival-div: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0%)

Memory
6.7MiB live, 42.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.3459588884118556
2.9783303933715715
Samples
17.0ms48×0valid
Compiler

Compiled 386 to 204 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (52.4% of total)
const: 5.0ms (32.8% of total)
ival-add: 2.0ms (13.1% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory
-38.2MiB live, 7.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
0.3459588884118556
2.9783303933715715
Compiler

Compiled 350 to 174 computations (50.3% saved)

bsearch14.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.3459588884118556
2.9783303933715715
Samples
9.0ms32×0valid
Compiler

Compiled 320 to 162 computations (49.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
const: 4.0ms (48.1% of total)
ival-mult: 3.0ms (36.1% of total)
ival-add: 1.0ms (12% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0%)

Memory
6.4MiB live, 44.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
0.3459588884118556
2.9783303933715715
Samples
24.0ms80×0valid
Compiler

Compiled 284 to 138 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
const: 9.0ms (42.1% of total)
ival-mult: 8.0ms (37.4% of total)
ival-add: 3.0ms (14% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.3459588884118556
2.9783303933715715
Samples
9.0ms32×0valid
Compiler

Compiled 254 to 120 computations (52.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (36.6% of total)
const: 3.0ms (36.6% of total)
ival-add: 1.0ms (12.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0%)

Memory
0.4MiB live, 38.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
0.3459588884118556
2.9783303933715715
Samples
30.0ms48×0valid
Compiler

Compiled 224 to 108 computations (51.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 16.0ms (56.5% of total)
ival-mult: 5.0ms (17.7% of total)
const: 5.0ms (17.7% of total)
ival-add: 2.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify124.0ms (0.1%)

Memory
-5.2MiB live, 107.7MiB allocated
Algorithm
egg-herbie
Rules
646×distribute-lft-neg-in-binary64-*.f64-neg.f64
626×unsub-neg-binary64--.f64-neg.f64-+.f64
496×neg-mul-1-binary64-*.f64-neg.f64
376×cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64
364×neg-sub0-binary64--.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01783039
12233039
22423039
32683039
43073039
53733039
66313039
79573039
813513039
916683039
1019523039
1122453039
1223723039
1324723039
1425373039
1526033039
1626183039
1726253039
1826263039
Stop Event
saturated
Calls
Call 1
Inputs
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Outputs
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(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)) (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) #s(approx (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)))
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(*.f64 #s(approx (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) #s(literal 1 binary64)) x)

soundness1.3s (1%)

Memory
10.5MiB live, 687.0MiB allocated
Rules
15 662×lower-fma.f64
15 662×lower-fma.f32
7 952×lower-*.f32
7 916×lower-*.f64
7 782×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01902298
14712250
211712235
331932230
479182230
080762125
0901382
0135806
1768654
27099654
08116641
075560
1165560
2379552
31053552
42597552
55336552
08141540
044422
076288
1304188
23038162
09943140
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 525 to 214 computations (59.2% saved)

preprocess241.0ms (0.2%)

Memory
-15.7MiB live, 143.2MiB allocated
Compiler

Compiled 1 470 to 412 computations (72% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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