Jmat.Real.dawson

Time bar (total: 13.9s)

analyze1.0ms (0%)

Algorithm
1×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 45 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.8s (19.9%)

Results
2.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult: 1.2s (67.3% of total)
ival-add: 477.0ms (26.2% of total)
ival-div: 61.0ms (3.4% of total)
const: 53.0ms (2.9% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess1.4s (9.9%)

Algorithm
2×egg-herbie
Rules
35848×accelerator-lowering-fma.f32
35848×accelerator-lowering-fma.f64
8356×*-lowering-*.f32
8356×*-lowering-*.f64
4834×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077514
1314322
21124232
34560214
045171
1132107
254577
3238771
4452371
5466071
6477671
7504371
8536171
9536371
10738071
11790171
12794171
13798771
14799671
15799671
0955060
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ (+ (+ (+ (+ 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)
Outputs
(* (/ (+ (+ (+ (+ (+ 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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
Call 2
Inputs
(* (/ (+ (+ (+ (+ (+ 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)
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x))
(neg (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x)))
Outputs
(* (/ (+ (+ (+ (+ (+ 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 (/ (+ 1 (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (pow x 6)) (* (pow x 8) (+ (* 1789971/10000000000 (* x x)) 2532017/5000000000)))))) (+ (* 1789971/5000000000 (pow x 12)) (+ (+ (* (pow x 8) (+ 70002721/5000000000 (* 1665589/2000000000 (* x x)))) (* 7715471019/10000000000 (* x x))) (+ (* (pow x 6) 694555761/10000000000) (+ 1 (* 2909738639/10000000000 (pow x 4))))))))
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x))
(* (+ 1 (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (pow x 6)) (* (pow x 8) (+ (* 1789971/10000000000 (* x x)) 2532017/5000000000)))))) (/ (neg x) (+ (* 1789971/5000000000 (pow x 12)) (+ (+ (* (pow x 8) (+ 70002721/5000000000 (* 1665589/2000000000 (* x x)))) (* 7715471019/10000000000 (* x x))) (+ (* (pow x 6) 694555761/10000000000) (+ 1 (* 2909738639/10000000000 (pow x 4))))))))
(neg (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x)))
(* x (/ (+ 1 (+ (* 1049934947/10000000000 (* x x)) (+ (* 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (pow x 6)) (* (pow x 8) (+ (* 1789971/10000000000 (* x x)) 2532017/5000000000)))))) (+ (* 1789971/5000000000 (pow x 12)) (+ (+ (* (pow x 8) (+ 70002721/5000000000 (* 1665589/2000000000 (* x x)))) (* 7715471019/10000000000 (* x x))) (+ (* (pow x 6) 694555761/10000000000) (+ 1 (* 2909738639/10000000000 (pow x 4))))))))
Symmetry

(negabs x)

explain421.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-0-(/.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)))))
610-5(2.706808018606378e+157)(*.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)
00-0-x
00-0-(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
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 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.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 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 1665589/2000000000 binary64)
00-0-(*.f64 x x)
00-0-#s(literal 36322091/5000000000 binary64)
00-0-(+.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-#s(literal 106015151/2500000000 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
00-0-(+.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 (*.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 7715471019/10000000000 binary64) (*.f64 x x))
00-0-(+.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-#s(literal 2909738639/10000000000 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-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
00-0-#s(literal 694555761/10000000000 binary64)
00-0-(+.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-#s(literal 1789971/10000000000 binary64)
00-0-(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-#s(literal 2 binary64)
00-0-#s(literal 7715471019/10000000000 binary64)
00-0-(+.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-(+.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))))
00-0-(*.f64 #s(literal 1049934947/10000000000 binary64) (*.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 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.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-#s(literal 70002721/5000000000 binary64)
00-0-#s(literal 1049934947/10000000000 binary64)
00-0-#s(literal 1 binary64)
00-0-(+.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))
Results
182.0ms512×0valid
Compiler

Compiled 2266 to 134 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 68.0ms (65.6% of total)
ival-add: 29.0ms (28% of total)
ival-div: 3.0ms (2.9% of total)
const: 3.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 84 to 41 computations (51.2% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.5%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
▶56.6%
(*.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 258 to 85 computations (67.1% saved)

localize1.2s (8.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff512
(+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))
✓cost-diff512
(*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
✓cost-diff512
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))
✓cost-diff768
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
✓cost-diff2560
(+.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))))
✓cost-diff3968
(+.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))))
✓cost-diff6528
(/.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)))))
✓cost-diff6528
(*.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)
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal 2909738639/10000000000 binary64))
✓accuracy57.5%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
✓accuracy99.7%
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
✓accuracy99.7%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy78.7%
(*.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)
✓accuracy57.4%
(/.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)))))
Rules
23234×accelerator-lowering-fma.f32
23234×accelerator-lowering-fma.f64
5616×+-lowering-+.f64
5616×+-lowering-+.f32
4526×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721430
1269964
21105928
33434916
43988916
54107916
64108916
77722916
87809916
97917916
08192794
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ (+ (+ (+ (+ 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)
(/ (+ (+ (+ (+ (+ 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 (* 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))))
(+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x))))
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1049934947/10000000000
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1789971/10000000000
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(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
(* (* x x) 1789971/5000000000)
1789971/5000000000
Outputs
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(+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))
(+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))
(* (* x x) (+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
(+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(+ 106015151/2500000000 (* (* x x) 36322091/5000000000))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))
(* (* x x) 36322091/5000000000)
(*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))
(* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
(+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))
(* (* x x) 1789971/10000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(+ 1 (* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
(* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))
(+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))
(+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))
(* x (* x 2909738639/10000000000))
(*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))
(* x 2909738639/10000000000)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
(+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
(* (* x x) 70002721/5000000000)
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
(+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))
(* (* x x) 1789971/5000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)
Results
162.0ms256×0valid
Compiler

Compiled 1615 to 73 computations (95.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 64.0ms (67.9% of total)
ival-add: 25.0ms (26.5% of total)
ival-div: 3.0ms (3.2% of total)
const: 2.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/ (+ (+ (+ (+ (+ 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)))))>
#<alt (* (/ (+ (+ (+ (+ (+ 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)>
#<alt (* 1049934947/10000000000 (* x x))>
#<alt (* 7715471019/10000000000 (* x x))>
#<alt (/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))) (+ 1 (* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))>
#<alt (* x 2909738639/10000000000)>
#<alt (* (* x x) 70002721/5000000000)>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (+ (+ (+ (+ (+ (+ 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))))>
#<alt (+ (+ (+ (+ (+ 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))))>
#<alt (+ 1 (* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))>
#<alt (* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))>
#<alt (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt (* 1789971/10000000000 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* 1049934947/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt 7715471019/10000000000>
#<alt (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))>
#<alt (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))>
#<alt (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
Calls

39 calls:

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

rewrite645.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
6398×accelerator-lowering-fma.f32
6398×accelerator-lowering-fma.f64
4906×*-lowering-*.f32
4906×*-lowering-*.f64
2448×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072635
1556401
25938401
08101341
Stop Event
1×iter limit
1×node limit
Counts
13 → 502
Calls
Call 1
Inputs
(/ (+ (+ (+ (+ (+ 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)
(* 1049934947/10000000000 (* x x))
(* 7715471019/10000000000 (* x x))
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))) (+ 1 (* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
(* x 2909738639/10000000000)
(* (* x x) 70002721/5000000000)
(* (* x x) 1789971/10000000000)
(+ (+ (+ (+ (+ (+ 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 (* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))
(* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
Outputs
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(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x))))))))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))))
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simplify393.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
9646×accelerator-lowering-fma.f32
9646×accelerator-lowering-fma.f64
3236×*-lowering-*.f32
3236×*-lowering-*.f64
2164×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431492
13981492
210081476
327841476
451651476
569661476
080831428
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
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)))
(/ 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 (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))
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 (* 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 (/ (- (* -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))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (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))))
(/ 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 (/ (- (* -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))
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (pow x 2))
(* 1789971/10000000000 (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)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
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)))))))
(* 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)))))))
(* 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)))))))
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)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 7715471019/10000000000 (pow x 2))
(* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
7715471019/10000000000
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 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 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.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 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x x))
(/ 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 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.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 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x x))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) 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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))) x)
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
x
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(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2)))))))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)) #s(literal 694555761/10000000000 binary64))))))
(* 1789971/5000000000 (pow x 10))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (pow.f64 x #s(literal 10 binary64)))
(* 1789971/5000000000 (pow x 10))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (pow.f64 x #s(literal 10 binary64)))

eval477.0ms (3.4%)

Compiler

Compiled 92615 to 2026 computations (97.8% saved)

prune94.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New64711658
Fresh000
Picked202
Done000
Total64911660
Accuracy
100.0%
Counts
660 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.9%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
52.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))) x)
▶52.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
49.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))))
▶56.6%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x))))))))))))
52.8%
(/.f64 #s(literal 1/2 binary64) x)
▶30.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
49.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
49.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
48.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
▶50.0%
x
Compiler

Compiled 484 to 288 computations (40.5% saved)

localize759.0ms (5.4%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
✓cost-diff0
#s(literal 1/2 binary64)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
✓cost-diff0
(/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))
✓cost-diff0
#s(literal 1/2 binary64)
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
#s(literal 1/2 binary64)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓cost-diff0
x
✓cost-diff256
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x))))))))
✓cost-diff384
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x)))))))))))
✓cost-diff384
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x))))))))))))
✓accuracy100.0%
(-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x)))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
✓accuracy99.1%
(/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.0%
(/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
✓accuracy98.9%
(/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy58.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓accuracy99.6%
(*.f64 x #s(literal 70002721/5000000000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal 2909738639/10000000000 binary64))
✓accuracy77.8%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x))))))))))))
✓accuracy62.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x)))))))))))
Rules
12032×accelerator-lowering-fma.f32
12032×accelerator-lowering-fma.f64
3968×*-lowering-*.f32
3968×*-lowering-*.f64
2592×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057705
1172705
2542701
31552699
45562699
56727699
08020615
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))))))
x
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))))))
1
(* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))
(* x x)
(+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))))
7715471019/10000000000
(* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))
(+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))
(* x 2909738639/10000000000)
2909738639/10000000000
(* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))
(+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
694555761/10000000000
(* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(* x 70002721/5000000000)
70002721/5000000000
(* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
(* x (* x x))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))))
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))
(+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))
1049934947/10000000000
(* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))
(+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))
106015151/2500000000
(* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))
(+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))
(* x 36322091/5000000000)
36322091/5000000000
(* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(* (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(/ (- 1/2 (/ -600041/2386628 (* x x))) x)
(- 1/2 (/ -600041/2386628 (* x x)))
(/ -600041/2386628 (* x x))
-600041/2386628
(/ (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))) x)
(+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x)))
(/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))
(- 600041/2386628 (/ -1307076337763/8543989815576 (* x x)))
600041/2386628
(/ -1307076337763/8543989815576 (* x x))
-1307076337763/8543989815576
Outputs
(/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))))
x
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
(* x x)
(*.f64 x x)
(+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))
(+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))
(*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))
(* x 2909738639/10000000000)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
(+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))
(+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(*.f64 x (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))
(* x 70002721/5000000000)
(*.f64 x #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))
(* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
(+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))
1665589/2000000000
#s(literal 1665589/2000000000 binary64)
(* (* x x) 1789971/5000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))
(+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))
(+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
(* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
(+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))
(+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))
(*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))
(* x 36322091/5000000000)
(*.f64 x #s(literal 36322091/5000000000 binary64))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
(* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
(+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))
2532017/5000000000
#s(literal 2532017/5000000000 binary64)
(* (* x x) 1789971/10000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
1789971/10000000000
#s(literal 1789971/10000000000 binary64)
(* (/ 1/2 (* x x)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(/ (- 1/2 (/ -600041/2386628 (* x x))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(- 1/2 (/ -600041/2386628 (* x x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(/ -600041/2386628 (* x x))
(/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))
-600041/2386628
#s(literal -600041/2386628 binary64)
(/ (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))
(/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(- 600041/2386628 (/ -1307076337763/8543989815576 (* x x)))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
600041/2386628
#s(literal 600041/2386628 binary64)
(/ -1307076337763/8543989815576 (* x x))
(/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))
-1307076337763/8543989815576
#s(literal -1307076337763/8543989815576 binary64)
Results
122.0ms256×0valid
Compiler

Compiled 784 to 58 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 34.0ms (51.2% of total)
ival-add: 15.0ms (22.6% of total)
ival-div: 13.0ms (19.6% of total)
ival-sub: 2.0ms (3% of total)
const: 2.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.2%)

Counts
19 → 216
Calls
Call 1
Inputs
#<alt (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))>
#<alt (/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))))))>
#<alt (* x 2909738639/10000000000)>
#<alt (* x 70002721/5000000000)>
#<alt (* (/ 1/2 (* x x)) x)>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<alt (/ -600041/2386628 (* x x))>
#<alt (/ (- 1/2 (/ -600041/2386628 (* x x))) x)>
#<alt (- 1/2 (/ -600041/2386628 (* x x)))>
#<alt (/ -1307076337763/8543989815576 (* x x))>
#<alt (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))>
#<alt (/ (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))) x)>
#<alt (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x)))>
#<alt (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))))))>
#<alt (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))>
#<alt x>
#<alt 1/2>
#<alt (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2)))))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2 (* -1 (/ (+ 113464366360/1067998726947 (* 85409195760635256467/1911686749272048537 (/ 1 (pow x 2)))) (pow x 4)))) (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2 (* -1 (/ (+ 113464366360/1067998726947 (* 85409195760635256467/1911686749272048537 (/ 1 (pow x 2)))) (pow x 4)))) (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ -1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 4))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 5))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))>
#<alt (/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))>
#<alt (/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))>
#<alt 600041/2386628>
#<alt (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))>
#<alt (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))>
#<alt (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))>
#<alt 600041/2386628>
#<alt (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))>
#<alt (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))>
#<alt (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1307076337763/8543989815576 (pow x 4))>
#<alt (/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))>
#<alt (/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))) x)
1.0ms
x
@-inf
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))
1.0ms
x
@inf
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))
1.0ms
x
@0
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))
0.0ms
x
@0
(/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))

rewrite477.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
6512×*-lowering-*.f32
6512×*-lowering-*.f64
3914×accelerator-lowering-fma.f32
3914×accelerator-lowering-fma.f64
3446×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057307
1403307
23828303
09340262
Stop Event
1×iter limit
1×node limit
Counts
19 → 393
Calls
Call 1
Inputs
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x)))))))))))
(/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)) (* x (* x x))))))))))))
(* x 2909738639/10000000000)
(* x 70002721/5000000000)
(* (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
(* x x)
(/ -600041/2386628 (* x x))
(/ (- 1/2 (/ -600041/2386628 (* x x))) x)
(- 1/2 (/ -600041/2386628 (* x x)))
(/ -1307076337763/8543989815576 (* x x))
(/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))
(/ (+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x))) x)
(- 600041/2386628 (/ -1307076337763/8543989815576 (* x x)))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x))))))))
(* (* x x) (+ 7715471019/10000000000 (* x (+ (* x 2909738639/10000000000) (* (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* x (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))) (* x (* x x)))))))
x
1/2
(+ 1/2 (/ (- 600041/2386628 (/ -1307076337763/8543989815576 (* x x))) (* x x)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)))))

simplify515.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
11734×accelerator-lowering-fma.f32
11734×accelerator-lowering-fma.f64
4024×*-lowering-*.f32
4024×*-lowering-*.f64
2478×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631590
14151580
210511575
329481548
460611548
081251496
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2)))))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 2 (* -1 (/ (+ 113464366360/1067998726947 (* 85409195760635256467/1911686749272048537 (/ 1 (pow x 2)))) (pow x 4)))) (* 600041/596657 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 2 (* -1 (/ (+ 113464366360/1067998726947 (* 85409195760635256467/1911686749272048537 (/ 1 (pow x 2)))) (pow x 4)))) (* 600041/596657 (/ 1 (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 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 (/ (- (* -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))
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (pow x 2))
(/ -600041/2386628 (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))
(/ 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)
(/ 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))
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))))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -1307076337763/8543989815576 (pow x 2))
(/ -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 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ 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))
(/ 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 (* 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))
(/ 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))
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))))
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
(+ 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)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 7715471019/10000000000 (pow x 2))
(* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64))))))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(* (pow x 2) (- (+ 2 (* -1 (/ (+ 113464366360/1067998726947 (* 85409195760635256467/1911686749272048537 (/ 1 (pow x 2)))) (pow x 4)))) (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -113464366360/1067998726947 binary64) (/.f64 #s(literal -85409195760635256467/1911686749272048537 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(* (pow x 2) (- (+ 2 (* -1 (/ (+ 113464366360/1067998726947 (* 85409195760635256467/1911686749272048537 (/ 1 (pow x 2)))) (pow x 4)))) (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -113464366360/1067998726947 binary64) (/.f64 #s(literal -85409195760635256467/1911686749272048537 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(/ 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)
(/ 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)
(/ 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)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x 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 2)
(*.f64 x 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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.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))
(/ -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))
(/ -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))
(/ -600041/2386628 (pow x 2))
(/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 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 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ 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 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 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 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 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 2))
(/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 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 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ 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 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x x))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x x))
600041/2386628
#s(literal 600041/2386628 binary64)
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
600041/2386628
#s(literal 600041/2386628 binary64)
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
(+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2))))
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 7715471019/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64)))
(* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))

eval204.0ms (1.5%)

Compiler

Compiled 68627 to 2476 computations (96.4% saved)

prune158.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New135861364
Fresh246
Picked235
Done000
Total1362131375
Accuracy
100.0%
Counts
1375 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.9%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
52.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))) x)
▶31.6%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
31.0%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
51.8%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
▶54.9%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
▶52.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
▶52.8%
(/.f64 #s(literal 1/2 binary64) x)
31.5%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓30.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
49.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
▶48.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
✓50.0%
x
Compiler

Compiled 284 to 193 computations (32% saved)

localize159.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
✓cost-diff0
x
✓cost-diff0
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
✓cost-diff0
x
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓cost-diff0
(*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
✓cost-diff0
x
✓cost-diff0
#s(literal 1/2 binary64)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))
✓cost-diff0
x
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
✓accuracy100.0%
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
✓accuracy100.0%
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
✓accuracy99.1%
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
✓accuracy77.7%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓accuracy99.9%
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
✓accuracy98.9%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
✓accuracy99.8%
(*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))
✓accuracy77.8%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
Rules
256×*-lowering-*.f32
256×*-lowering-*.f64
164×accelerator-lowering-fma.f32
164×accelerator-lowering-fma.f64
110×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027137
152137
285135
3121133
4233133
5280133
6305133
7320133
8341133
9347133
10348133
0348127
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x (+ 1 (* 833192009/1250000000 (* x x))))
x
(+ 1 (* 833192009/1250000000 (* x x)))
1
(* 833192009/1250000000 (* x x))
833192009/1250000000
(* x x)
(/ 1/2 x)
1/2
(* (+ 1 (* -833192009/1250000000 (* x x))) x)
(+ 1 (* -833192009/1250000000 (* x x)))
(* -833192009/1250000000 (* x x))
-833192009/1250000000
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
(+ 1/2 (/ 600041/2386628 (* x x)))
(/ 600041/2386628 (* x x))
600041/2386628
(/ x (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))))
(+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x))))
(* x (* x 2))
(* x 2)
2
(+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))
-600041/596657
(/ -113464366360/1067998726947 (* x x))
-113464366360/1067998726947
Outputs
(/ x (+ 1 (* 833192009/1250000000 (* x x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))))
x
(+ 1 (* 833192009/1250000000 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
1
#s(literal 1 binary64)
(* 833192009/1250000000 (* x x))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
833192009/1250000000
#s(literal 833192009/1250000000 binary64)
(* x x)
(*.f64 x x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(* (+ 1 (* -833192009/1250000000 (* x x))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))
(+ 1 (* -833192009/1250000000 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
(* -833192009/1250000000 (* x x))
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
(+ 1/2 (/ 600041/2386628 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/ 600041/2386628 (* x x))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
600041/2386628
#s(literal 600041/2386628 binary64)
(/ x (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))))
(/.f64 x (+.f64 (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))))
(+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x))))
(+.f64 (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64)))
(* x (* x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
-600041/596657
#s(literal -600041/596657 binary64)
(/ -113464366360/1067998726947 (* x x))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
-113464366360/1067998726947
#s(literal -113464366360/1067998726947 binary64)
Results
69.0ms256×0valid
Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 12.0ms (37.2% of total)
ival-mult: 11.0ms (34.1% of total)
ival-add: 9.0ms (27.9% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.2%)

Counts
19 → 204
Calls
Call 1
Inputs
#<alt (/ x (+ 1 (* 833192009/1250000000 (* x x))))>
#<alt (* 833192009/1250000000 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (* 833192009/1250000000 (* x x)))>
#<alt (/ 1/2 x)>
#<alt (* -833192009/1250000000 (* x x))>
#<alt (* (+ 1 (* -833192009/1250000000 (* x x))) x)>
#<alt (+ 1 (* -833192009/1250000000 (* x x)))>
#<alt (/ 600041/2386628 (* x x))>
#<alt (/ x (+ 1/2 (/ 600041/2386628 (* x x))))>
#<alt (/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))>
#<alt (/ x (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))))>
#<alt (/ -113464366360/1067998726947 (* x x))>
#<alt (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))>
#<alt (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x))))>
#<alt x>
#<alt 1>
#<alt 1/2>
#<alt (* x (* x 2))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 694208923861456081/1562500000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* -578409327937854629793656729/1953125000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1250000000/833192009 x)>
#<alt (/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) x)>
#<alt (/ 1250000000/833192009 x)>
#<alt (* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) 1250000000/833192009) x))>
#<alt (* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6)))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* 833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* 833192009/1250000000 (pow x 2)))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (/ 600041/2386628 (pow x 2))>
#<alt (* 2386628/600041 (pow x 3))>
#<alt (* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))>
#<alt (* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (pow x 2)) 2847996605192/360049201681))))>
#<alt (* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* (pow x 2) (+ 3398554220928086288/216044283025868921 (* -4055542331592578360678432/129635427631125413225761 (pow x 2)))) 2847996605192/360049201681))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))>
#<alt (* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))>
#<alt (/ 600041/2386628 (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1067998726947/113464366360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1147090428719949276190017/12874162433476299649600 (pow x 2)) 1067998726947/113464366360))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1147090428719949276190017/12874162433476299649600 (* -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow x 2)))) 1067998726947/113464366360))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1147090428719949276190017/12874162433476299649600 (* (pow x 2) (- (* 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow x 2)) 1490879086430862796612359475123470267/1460758682930103991819354027456000)))) 1067998726947/113464366360))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 920465936497689803/10195662662784258864 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 920465936497689803/10195662662784258864 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))>
#<alt (/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))>
#<alt (/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))>
#<alt -600041/596657>
#<alt (* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))>
#<alt -600041/596657>
#<alt (* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))>
#<alt (/ -113464366360/1067998726947 (pow x 2))>
#<alt (/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 600041/596657)) 113464366360/1067998726947) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 600041/596657)) 113464366360/1067998726947) (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* -833192009/1250000000 (* x x))
0.0ms
x
@inf
(+ 1 (* 833192009/1250000000 (* x x)))
0.0ms
x
@inf
(/ x (+ 1 (* 833192009/1250000000 (* x x))))
0.0ms
x
@0
(/ x (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))))
0.0ms
x
@inf
(/ x (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))))

rewrite411.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
5026×accelerator-lowering-fma.f32
5026×accelerator-lowering-fma.f64
4488×/-lowering-/.f32
4488×/-lowering-/.f64
3570×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027121
1163119
21365119
08433108
Stop Event
1×iter limit
1×node limit
Counts
19 → 616
Calls
Call 1
Inputs
(/ x (+ 1 (* 833192009/1250000000 (* x x))))
(* 833192009/1250000000 (* x x))
(* x x)
(+ 1 (* 833192009/1250000000 (* x x)))
(/ 1/2 x)
(* -833192009/1250000000 (* x x))
(* (+ 1 (* -833192009/1250000000 (* x x))) x)
(+ 1 (* -833192009/1250000000 (* x x)))
(/ 600041/2386628 (* x x))
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
(/ x (+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))))
(/ -113464366360/1067998726947 (* x x))
(+ -600041/596657 (/ -113464366360/1067998726947 (* x x)))
(+ (* x (* x 2)) (+ -600041/596657 (/ -113464366360/1067998726947 (* x x))))
x
1
1/2
(* x (* x 2))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))
(*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 833192009/1250000000 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -833192009/1250000000 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -833192009/1250000000 binary64))) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 833192009/1250000000 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 833192009/1250000000 binary64))) x))
(+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(fma.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(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))
(fma.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(fma.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(fma.f64 (*.f64 x #s(literal -833192009/1250000000 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 833192009/1250000000 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
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(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (-.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))))
(*.f64 (+.f64 (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)))) (/.f64 (/.f64 #s(literal -1460758682930103991819354027456000/1218182075780777389203160944161280123 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64))) (-.f64 (/.f64 #s(literal 12874162433476299649600/1140621280760412663940809 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)) (/.f64 x (/.f64 #s(literal -113464366360/1067998726947 binary64) x)))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (-.f64 (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64))) (/.f64 #s(literal 12874162433476299649600/1140621280760412663940809 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -600041/596657 binary64)) (/.f64 #s(literal 113464366360/1067998726947 binary64) (*.f64 x x)))))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 x (/.f64 #s(literal 1/2 binary64) x))
(*.f64 x (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) x)

simplify522.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
13164×accelerator-lowering-fma.f32
13164×accelerator-lowering-fma.f64
4438×*-lowering-*.f32
4438×*-lowering-*.f64
3576×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911428
15081404
214151329
345801328
085471266
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 694208923861456081/1562500000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* -578409327937854629793656729/1953125000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1250000000/833192009 x)
(/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) x)
(/ 1250000000/833192009 x)
(* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) 1250000000/833192009) x))
(* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6)))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+ 1 (* 833192009/1250000000 (pow x 2)))
(* 833192009/1250000000 (pow x 2))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* 833192009/1250000000 (pow x 2))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* -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))
(* -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)))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (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))
(* -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))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(* 2386628/600041 (pow x 3))
(* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (pow x 2)) 2847996605192/360049201681))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* (pow x 2) (+ 3398554220928086288/216044283025868921 (* -4055542331592578360678432/129635427631125413225761 (pow x 2)))) 2847996605192/360049201681))))
(* 2 x)
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))
(* 2 x)
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(/ 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))
(/ 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)
(* -1067998726947/113464366360 (pow x 3))
(* (pow x 3) (- (* 1147090428719949276190017/12874162433476299649600 (pow x 2)) 1067998726947/113464366360))
(* (pow x 3) (- (* (pow x 2) (+ 1147090428719949276190017/12874162433476299649600 (* -1490879086430862796612359475123470267/1460758682930103991819354027456000 (pow x 2)))) 1067998726947/113464366360))
(* (pow x 3) (- (* (pow x 2) (+ 1147090428719949276190017/12874162433476299649600 (* (pow x 2) (- (* 1879295986149920285312985522076221247135811081817/165744058363532397600689628309809082780160000 (pow x 2)) 1490879086430862796612359475123470267/1460758682930103991819354027456000)))) 1067998726947/113464366360))
(/ 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))) (* 920465936497689803/10195662662784258864 (/ 1 (pow x 6)))))) 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 (* 920465936497689803/10195662662784258864 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ -113464366360/1067998726947 (pow x 2))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
-600041/596657
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
-600041/596657
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(/ -113464366360/1067998726947 (pow x 2))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 600041/596657)) 113464366360/1067998726947) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 600041/596657)) 113464366360/1067998726947) (pow x 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
Outputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 694208923861456081/1562500000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 694208923861456081/1562500000000000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* -578409327937854629793656729/1953125000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64))))))))))
(/ 1250000000/833192009 x)
(/.f64 #s(literal 1250000000/833192009 binary64) x)
(/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)
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(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 920465936497689803/10195662662784258864 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 920465936497689803/10195662662784258864 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 920465936497689803/10195662662784258864 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal -920465936497689803/10195662662784258864 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
-600041/596657
#s(literal -600041/596657 binary64)
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
-600041/596657
#s(literal -600041/596657 binary64)
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(* -1 (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(/ -113464366360/1067998726947 (pow x 2))
(/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))
(/ (- (* -600041/596657 (pow x 2)) 113464366360/1067998726947) (pow x 2))
(+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 600041/596657)) 113464366360/1067998726947) (pow x 2))
(+.f64 #s(literal -600041/596657 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 600041/596657)) 113464366360/1067998726947) (pow x 2))
(+.f64 #s(literal -600041/596657 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 600041/596657 (* 113464366360/1067998726947 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 #s(literal -600041/596657 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x))))
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))

eval141.0ms (1%)

Compiler

Compiled 23341 to 2453 computations (89.5% saved)

prune202.0ms (1.4%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New122301223
Fresh055
Picked055
Done033
Total1223131236
Accuracy
100.0%
Counts
1236 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.9%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
▶52.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))) x)
✓31.6%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
▶31.0%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
▶51.8%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
✓54.9%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
✓52.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓52.8%
(/.f64 #s(literal 1/2 binary64) x)
▶31.5%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓30.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
▶49.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
✓48.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
✓50.0%
x
Compiler

Compiled 232 to 156 computations (32.8% saved)

localize473.0ms (3.4%)

Algorithm
1×egg-herbie
Localize:

Found 39 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
✓cost-diff0
#s(literal 1 binary64)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64))))))
✓cost-diff0
x
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64))
✓cost-diff0
x
✓cost-diff0
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓cost-diff0
#s(literal 1/2 binary64)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
✓cost-diff256
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓cost-diff0
#s(literal 1/2 binary64)
✓cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))
✓cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64))))
✓cost-diff128
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))) x)
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))
✓accuracy99.4%
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
✓accuracy99.8%
(*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
✓accuracy96.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64))
✓accuracy77.4%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
✓accuracy58.9%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))
✓accuracy99.1%
(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓accuracy99.1%
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy98.8%
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
Rules
5772×accelerator-lowering-fma.f32
5772×accelerator-lowering-fma.f64
2744×*-lowering-*.f32
2744×*-lowering-*.f64
1772×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045323
1118320
2336308
3821307
42356307
55289307
08081286
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))) x)
(- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)))
1/2
(* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))
(/ -1 (* x x))
-1
(* x x)
x
(+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)
(/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x))
(+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x)))
1307076337763/8543989815576
(/ 344398180852034095277/30586987988352776592 (* x x))
344398180852034095277/30586987988352776592
600041/2386628
(* (/ (/ 1/2 x) x) x)
(/ (/ 1/2 x) x)
(/ 1/2 x)
(/ x (+ (* x (* x 2)) -600041/596657))
(+ (* x (* x 2)) -600041/596657)
(* x (* x 2))
(* x 2)
2
-600041/596657
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))))
(+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000)))))
1
(* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))
(+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000)))
833192009/1250000000
(* x (* x 2232300135939761477/12500000000000000000))
(* x 2232300135939761477/12500000000000000000)
2232300135939761477/12500000000000000000
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))) x)
(+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))))
(* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))
(+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))
-833192009/1250000000
(* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))
(* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
(+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))
3321371254951887171/12500000000000000000
(* x (* x -9156128575487588197208397249/125000000000000000000000000000))
(* x -9156128575487588197208397249/125000000000000000000000000000)
-9156128575487588197208397249/125000000000000000000000000000
Outputs
(/ (- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (*.f64 x x))) x)
(- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -600041/2386628 binary64)) (*.f64 x x))
(/ -1 (* x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
x
(+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)
(+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64))
(/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x)))
(+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
1307076337763/8543989815576
#s(literal 1307076337763/8543989815576 binary64)
(/ 344398180852034095277/30586987988352776592 (* x x))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
344398180852034095277/30586987988352776592
#s(literal 344398180852034095277/30586987988352776592 binary64)
600041/2386628
#s(literal 600041/2386628 binary64)
(* (/ (/ 1/2 x) x) x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (/ 1/2 x) x)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ x (+ (* x (* x 2)) -600041/596657))
(/.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64)))
(+ (* x (* x 2)) -600041/596657)
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))
(* x (* x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
-600041/596657
#s(literal -600041/596657 binary64)
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))
(+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))
(+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000)))
(+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))
833192009/1250000000
#s(literal 833192009/1250000000 binary64)
(* x (* x 2232300135939761477/12500000000000000000))
(*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))
(* x 2232300135939761477/12500000000000000000)
(*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64))
2232300135939761477/12500000000000000000
#s(literal 2232300135939761477/12500000000000000000 binary64)
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))
(+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
(+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))
(+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))
(* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
(*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))
(+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))
(+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))
3321371254951887171/12500000000000000000
#s(literal 3321371254951887171/12500000000000000000 binary64)
(* x (* x -9156128575487588197208397249/125000000000000000000000000000))
(*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
(* x -9156128575487588197208397249/125000000000000000000000000000)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
-9156128575487588197208397249/125000000000000000000000000000
#s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)
Results
97.0ms256×0valid
Compiler

Compiled 333 to 46 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 25.0ms (48% of total)
ival-div: 13.0ms (25% of total)
ival-add: 11.0ms (21.1% of total)
const: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
27 → 300
Calls
Call 1
Inputs
#<alt (/ 344398180852034095277/30586987988352776592 (* x x))>
#<alt (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x))>
#<alt (/ -1 (* x x))>
#<alt (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))>
#<alt (* (/ (/ 1/2 x) x) x)>
#<alt (/ (/ 1/2 x) x)>
#<alt (/ 1/2 x)>
#<alt (/ x (+ (* x (* x 2)) -600041/596657))>
#<alt (+ (* x (* x 2)) -600041/596657)>
#<alt (* x 2)>
#<alt (* x (* x 2))>
#<alt (/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))))>
#<alt (* x (* x 2232300135939761477/12500000000000000000))>
#<alt (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))>
#<alt (* x 2232300135939761477/12500000000000000000)>
#<alt (* x -9156128575487588197208397249/125000000000000000000000000000)>
#<alt (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))>
#<alt (* x (* x -9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))>
#<alt (/ (- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))) x)>
#<alt (- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)))>
#<alt 1/2>
#<alt x>
#<alt (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000)))))>
#<alt 1>
#<alt (* (+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))) x)>
#<alt (+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))))>
Outputs
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 2))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 4))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -344398180852034095277/30586987988352776592 (pow x 6))>
#<alt (/ (- (* -1307076337763/8543989815576 (pow x 2)) 344398180852034095277/30586987988352776592) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -600041/2386628 (pow x 2)) 1307076337763/8543989815576)) 344398180852034095277/30586987988352776592) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -600041/2386628 (pow x 2)) 1307076337763/8543989815576)) 344398180852034095277/30586987988352776592) (pow x 6))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))>
#<alt (/ -600041/2386628 (pow x 2))>
#<alt (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -596657/600041 x)>
#<alt (* x (- (* -711999151298/360049201681 (pow x 2)) 596657/600041))>
#<alt (* x (- (* (pow x 2) (- (* -849638555232021572/216044283025868921 (pow x 2)) 711999151298/360049201681)) 596657/600041))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1013885582898144590169608/129635427631125413225761 (pow x 2)) 849638555232021572/216044283025868921)) 711999151298/360049201681)) 596657/600041))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 360049201681/2847996605192 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 360049201681/2847996605192 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 216044283025868921/3398554220928086288 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 360049201681/2847996605192 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 360049201681/2847996605192 (* 216044283025868921/3398554220928086288 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt -600041/596657>
#<alt (- (* 2 (pow x 2)) 600041/596657)>
#<alt (- (* 2 (pow x 2)) 600041/596657)>
#<alt (- (* 2 (pow x 2)) 600041/596657)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -453702676796795551172189623/7812500000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 12500000000000000000/2232300135939761477 (pow x 3))>
#<alt (/ (- 12500000000000000000/2232300135939761477 (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4))) (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4))) (+ (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (* 1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 (/ 1 (pow x 6))))) (pow x 3))>
#<alt (/ 12500000000000000000/2232300135939761477 (pow x 3))>
#<alt (* -1 (/ (- (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) 12500000000000000000/2232300135939761477) (pow x 3)))>
#<alt (* -1 (/ (- (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (* 1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 (/ 1 (pow x 6)))) (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4)))) (pow x 3)))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* 833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* 2232300135939761477/12500000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 x)>
#<alt (* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))>
#<alt (* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))>
#<alt (* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 7))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 7))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 7))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (/ 344398180852034095277/30586987988352776592 (pow x 6))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* 833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))>
#<alt (* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))) x)
1.0ms
x
@inf
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))))
0.0ms
x
@-inf
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))))
0.0ms
x
@inf
(* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
0.0ms
x
@0
(* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))

rewrite503.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
5296×*-lowering-*.f32
5296×*-lowering-*.f64
4324×/-lowering-/.f32
4324×/-lowering-/.f64
3020×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045251
1287245
22599237
08681212
Stop Event
1×iter limit
1×node limit
Counts
27 → 1012
Calls
Call 1
Inputs
(/ 344398180852034095277/30586987988352776592 (* x x))
(/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x))
(/ -1 (* x x))
(* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))
(* (/ (/ 1/2 x) x) x)
(/ (/ 1/2 x) x)
(/ 1/2 x)
(/ x (+ (* x (* x 2)) -600041/596657))
(+ (* x (* x 2)) -600041/596657)
(* x 2)
(* x (* x 2))
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))))
(* x (* x 2232300135939761477/12500000000000000000))
(* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000))))
(* x 2232300135939761477/12500000000000000000)
(* x -9156128575487588197208397249/125000000000000000000000000000)
(* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
(* x (* x -9156128575487588197208397249/125000000000000000000000000000))
(* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))
(/ (- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628))) x)
(- 1/2 (* (/ -1 (* x x)) (+ (/ (+ 1307076337763/8543989815576 (/ 344398180852034095277/30586987988352776592 (* x x))) (* x x)) 600041/2386628)))
1/2
x
(+ 1 (* (* x x) (+ 833192009/1250000000 (* x (* x 2232300135939761477/12500000000000000000)))))
1
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))) x)
(+ 1 (* (* x x) (+ -833192009/1250000000 (* x (* x (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 344398180852034095277/30586987988352776592 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (*.f64 x x)))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 344398180852034095277/30586987988352776592 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 344398180852034095277/30586987988352776592 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 344398180852034095277/30586987988352776592 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) x)))
(/.f64 #s(literal -344398180852034095277/30586987988352776592 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
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(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))

simplify432.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
9516×accelerator-lowering-fma.f32
9516×accelerator-lowering-fma.f64
3792×*-lowering-*.f32
3792×*-lowering-*.f64
3564×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02452308
16242296
216462268
349772258
082752183
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/ 344398180852034095277/30586987988352776592 (pow x 4))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 4))
(/ 1307076337763/8543989815576 (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -344398180852034095277/30586987988352776592 (pow x 6))
(/ (- (* -1307076337763/8543989815576 (pow x 2)) 344398180852034095277/30586987988352776592) (pow x 6))
(/ (- (* (pow x 2) (- (* -600041/2386628 (pow x 2)) 1307076337763/8543989815576)) 344398180852034095277/30586987988352776592) (pow x 6))
(/ (- (* (pow x 2) (- (* -600041/2386628 (pow x 2)) 1307076337763/8543989815576)) 344398180852034095277/30586987988352776592) (pow x 6))
(/ -600041/2386628 (pow x 2))
(* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))
(/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))
(/ -600041/2386628 (pow x 2))
(* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))
(/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 2))) 600041/2386628) (pow x 2))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -596657/600041 x)
(* x (- (* -711999151298/360049201681 (pow x 2)) 596657/600041))
(* x (- (* (pow x 2) (- (* -849638555232021572/216044283025868921 (pow x 2)) 711999151298/360049201681)) 596657/600041))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1013885582898144590169608/129635427631125413225761 (pow x 2)) 849638555232021572/216044283025868921)) 711999151298/360049201681)) 596657/600041))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 360049201681/2847996605192 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 360049201681/2847996605192 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 216044283025868921/3398554220928086288 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 360049201681/2847996605192 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 360049201681/2847996605192 (* 216044283025868921/3398554220928086288 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
-600041/596657
(- (* 2 (pow x 2)) 600041/596657)
(- (* 2 (pow x 2)) 600041/596657)
(- (* 2 (pow x 2)) 600041/596657)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 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 (* -453702676796795551172189623/7812500000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 12500000000000000000/2232300135939761477 (pow x 3))
(/ (- 12500000000000000000/2232300135939761477 (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4))) (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4))) (+ (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (* 1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 (/ 1 (pow x 6))))) (pow x 3))
(/ 12500000000000000000/2232300135939761477 (pow x 3))
(* -1 (/ (- (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) 12500000000000000000/2232300135939761477) (pow x 3)))
(* -1 (/ (- (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (* 1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 (/ 1 (pow x 6)))) (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4)))) (pow x 3)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* 833192009/1250000000 (pow x 2))
(* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* 2232300135939761477/12500000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* 3321371254951887171/12500000000000000000 x)
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* x (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 3) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* -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))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -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))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(/ 344398180852034095277/30586987988352776592 (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 7))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 7))
(/ 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 (/ (- (* -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))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 7) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(* -1 (* (pow x 7) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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)))
(* -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 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)))))
Outputs
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 2))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))
(/ 344398180852034095277/30586987988352776592 (pow x 4))
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(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #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 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/ 344398180852034095277/30586987988352776592 (pow x 6))
(/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 344398180852034095277/30586987988352776592 (* 1307076337763/8543989815576 (pow x 2))) (pow x 6))
(/.f64 (+.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x (*.f64 x #s(literal 1307076337763/8543989815576 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 344398180852034095277/30586987988352776592 (* (pow x 2) (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))))) (pow x 6))
(/.f64 (+.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (/.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (/.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (/.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (/.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (/.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (/.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x)))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(*.f64 (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))

eval494.0ms (3.5%)

Compiler

Compiled 47610 to 4955 computations (89.6% saved)

prune289.0ms (2.1%)

Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New167221674
Fresh000
Picked145
Done088
Total1673141687
Accuracy
100.0%
Counts
1687 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x)
✓52.9%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
✓31.6%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
✓31.0%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓51.8%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
✓54.9%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
51.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) x))
✓52.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓52.8%
(/.f64 #s(literal 1/2 binary64) x)
✓31.5%
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓30.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓49.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
✓48.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
✓50.0%
x
Compiler

Compiled 760 to 295 computations (61.2% saved)

regimes16.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 600041/2386628 binary64)))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))) (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x))))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -600041/2386628 binary64) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) x)
Calls

2 calls:

7.0ms
(*.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)
6.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
98.8%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 176 to 45 computations (74.4% saved)

regimes8.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) x))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -113464366360/1067998726947 binary64) (*.f64 x x)))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
Outputs
x
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
50.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch61.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
55.0ms
0.0056652611424275814
286.8705585304275
Results
49.0ms128×0valid
Compiler

Compiled 546 to 287 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 37.0ms (82.8% of total)
ival-add: 6.0ms (13.4% of total)
ival-div: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
0.0056652611424275814
286.8705585304275
Results
32.0ms128×0valid
Compiler

Compiled 498 to 263 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 19.0ms (70.4% of total)
ival-add: 6.0ms (22.2% of total)
ival-div: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.0056652611424275814
286.8705585304275
Results
32.0ms128×0valid
Compiler

Compiled 450 to 231 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 18.0ms (70.1% of total)
ival-add: 6.0ms (23.4% of total)
ival-div: 1.0ms (3.9% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.0056652611424275814
286.8705585304275
Results
30.0ms128×0valid
Compiler

Compiled 418 to 223 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 17.0ms (68.2% of total)
ival-add: 6.0ms (24.1% of total)
ival-div: 1.0ms (4% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.0056652611424275814
286.8705585304275
Results
29.0ms128×0valid
Compiler

Compiled 418 to 215 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 17.0ms (69.2% of total)
ival-add: 6.0ms (24.4% of total)
ival-div: 1.0ms (4.1% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
0.0056652611424275814
286.8705585304275
Results
32.0ms128×0valid
Compiler

Compiled 370 to 191 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 19.0ms (69.8% of total)
ival-add: 6.0ms (22% of total)
ival-div: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.0056652611424275814
286.8705585304275
Results
30.0ms128×0valid
Compiler

Compiled 354 to 175 computations (50.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 17.0ms (68.1% of total)
ival-add: 6.0ms (24% of total)
ival-div: 1.0ms (4% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
0.0056652611424275814
286.8705585304275
Results
32.0ms128×0valid
Compiler

Compiled 306 to 143 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 18.0ms (65.7% of total)
ival-add: 8.0ms (29.2% of total)
ival-div: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.0056652611424275814
286.8705585304275
Results
31.0ms128×0valid
Compiler

Compiled 306 to 143 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 17.0ms (65.3% of total)
ival-add: 7.0ms (26.9% of total)
ival-div: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
0.0056652611424275814
286.8705585304275
Results
30.0ms128×0valid
Compiler

Compiled 242 to 95 computations (60.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 17.0ms (67% of total)
ival-add: 6.0ms (23.7% of total)
ival-div: 1.0ms (3.9% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 268 to 82 computations (69.4% saved)

preprocess101.0ms (0.7%)

Compiler

Compiled 1072 to 368 computations (65.7% saved)

end0.0ms (0%)

Profiling

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