Jmat.Real.dawson

Time bar (total: 15.4s)

analyze2.0ms (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)
...c/correct-round.rkt:119:19: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample4.0s (26.1%)

Results
3.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
...c/correct-round.rkt:119:19: 1.4s (45.9% of total)
ival-mult: 1.1s (36% of total)
ival-add: 481.0ms (15.7% of total)
ival-div: 56.0ms (1.8% of total)
const: 14.0ms (0.5% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess351.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
5032×+-lowering-+.f64
5032×+-lowering-+.f32
4140×*-lowering-*.f32
4140×*-lowering-*.f64
1960×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077499
1348313
21287211
36819208
045166
1141104
268870
3420264
4635160
5648860
6660460
7687260
8719060
9719260
0811760
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 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+ (fma 106015151/2500000000 (pow x 4) (fma 36322091/5000000000 (pow x 6) (fma 1049934947/10000000000 (* x x) 1))) (* (* x (pow x 7)) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x)))))) (sum5 1 (* 7715471019/10000000000 (* x x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ (* 70002721/5000000000 (* x x)) 694555761/10000000000)) (* (pow (* x x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (* 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))
(* (+ (fma 106015151/2500000000 (pow x 4) (fma 36322091/5000000000 (pow x 6) (fma 1049934947/10000000000 (* x x) 1))) (* (* x (pow x 7)) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x))))) (/ (neg x) (sum5 1 (* 7715471019/10000000000 (* x x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ (* 70002721/5000000000 (* x x)) 694555761/10000000000)) (* (pow (* x x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (* x 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)))
(/ (* x (+ (fma 106015151/2500000000 (pow x 4) (fma 36322091/5000000000 (pow x 6) (fma 1049934947/10000000000 (* x x) 1))) (* (* x (pow x 7)) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x)))))) (sum5 1 (* 7715471019/10000000000 (* x x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ (* 70002721/5000000000 (* x x)) 694555761/10000000000)) (* (pow (* x x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (* x x))))))
Symmetry

(negabs x)

explain539.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1180-0-(/.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)))))
560-3(2.3365524662994425e+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)
10-0-(*.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)))
10-0-(*.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)))
10-0-(*.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-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-#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 #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 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
252.0ms512×0valid
Compiler

Compiled 2266 to 134 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
...c/correct-round.rkt:119:19: 73.0ms (43.1% of total)
ival-mult: 65.0ms (38.4% of total)
ival-add: 26.0ms (15.4% of total)
ival-div: 3.0ms (1.8% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 104 to 47 computations (54.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.9%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
▶53.5%
(*.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 278 to 91 computations (67.3% saved)

simplify317.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff768
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
✓cost-diff1024
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))
✓cost-diff1024
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))
✓cost-diff1792
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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-diff3712
(+.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-diff6272
(/.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-diff6272
(*.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)
Rules
5136×+-lowering-+.f64
5136×+-lowering-+.f32
4592×*-lowering-*.f32
4592×*-lowering-*.f64
1300×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0771471
1305950
21480865
35120839
47460839
57608839
67717839
08072839
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))))
(+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x))))
(+ 1 (* 1049934947/10000000000 (* x x)))
1
(* 1049934947/10000000000 (* x x))
1049934947/10000000000
(* x x)
x
(* 106015151/2500000000 (* (* x x) (* x x)))
106015151/2500000000
(* (* x x) (* x x))
(* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))
36322091/5000000000
(* (* (* x x) (* x x)) (* x x))
(* 2532017/5000000000 (* (* (* (* x x) (* 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)))
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 (* 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))))
(+ (+ (+ (+ 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))))
(+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x))))
(+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x))))
(+ 1 (* 7715471019/10000000000 (* x x)))
(* 7715471019/10000000000 (* x x))
7715471019/10000000000
(* 2909738639/10000000000 (* (* x x) (* x x)))
2909738639/10000000000
(* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))
694555761/10000000000
(* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))
70002721/5000000000
(* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))
1665589/2000000000
(* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))
(* 2 1789971/10000000000)
2
(* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))
(/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
(* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
x
(+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
1
(+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(* 1049934947/10000000000 (* x x))
1049934947/10000000000
(* x x)
(* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))
(+ 106015151/2500000000 (* (* x x) 36322091/5000000000))
106015151/2500000000
(* (* x x) 36322091/5000000000)
36322091/5000000000
(* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))
(+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000)))
(+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))
7715471019/10000000000
(* (* x x) 2909738639/10000000000)
2909738639/10000000000
(* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))
(+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))
(* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))
(* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))
(* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))
(* (* x x) (* (* x x) (* x (* x (* x x)))))
(+ 1665589/2000000000 (* x (* x 1789971/5000000000)))
1665589/2000000000
(* x (* x 1789971/5000000000))
(* x 1789971/5000000000)
1789971/5000000000
Outputs
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1
#s(literal 1 binary64)
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1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
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x
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106015151/2500000000
#s(literal 106015151/2500000000 binary64)
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36322091/5000000000
#s(literal 36322091/5000000000 binary64)
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2532017/5000000000
#s(literal 2532017/5000000000 binary64)
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1789971/10000000000
#s(literal 1789971/10000000000 binary64)
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7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
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2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
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694555761/10000000000
#s(literal 694555761/10000000000 binary64)
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70002721/5000000000
#s(literal 70002721/5000000000 binary64)
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1665589/2000000000
#s(literal 1665589/2000000000 binary64)
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#s(literal 2 binary64)
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x
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#s(literal 36322091/5000000000 binary64)
(* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x x)))))
(* (* x x) (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 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)))
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 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* 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 (+.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)))))))))))
(+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* 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 (+.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))))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))
(+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(* (* x x) 2909738639/10000000000)
(*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))
(*.f64 (*.f64 x x) (*.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)))))))
(+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))
(*.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))))))
(* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))
(* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))
(*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))
(* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* x x) 70002721/5000000000)
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))
(* (* x x) (* (* x x) (* x (* x (* x x)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 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))
(* x 1789971/5000000000)
(*.f64 x #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)

localize379.0ms (2.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy99.6%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy54.9%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
✓accuracy99.6%
(*.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)))
✓accuracy99.6%
(*.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)))
✓accuracy80.3%
(*.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)
✓accuracy54.7%
(/.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)))))
Results
227.0ms256×0valid
Compiler

Compiled 1759 to 78 computations (95.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 63.0ms (45.2% of total)
...c/correct-round.rkt:119:19: 47.0ms (33.7% of total)
ival-add: 25.0ms (18% of total)
ival-div: 3.0ms (2.2% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

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))))) 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)))))>
#<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 (/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))>
#<alt (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))>
#<alt (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))>
#<alt (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))>
#<alt (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))>
#<alt (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* 1049934947/10000000000 (* x x))>
#<alt (* (* x x) 70002721/5000000000)>
Outputs
#<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 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 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 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 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 (+ 1 (* 1049934947/10000000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))))>
#<alt (* 1789971/10000000000 (pow x 11))>
#<alt (* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 11))>
#<alt (* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))) (pow x 2))) 1789971/10000000000)))>
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<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 (* 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 (* 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))>
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))))) 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))))) x)
1.0ms
x
@inf
(/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
1.0ms
x
@0
(* 1665589/2000000000 (* (* (* (* (* 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))))

rewrite412.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
4412×*-lowering-*.f32
4412×*-lowering-*.f64
2638×+-lowering-+.f64
2638×+-lowering-+.f32
1952×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077635
1588381
26736381
08318381
Stop Event
1×iter limit
1×node limit
Counts
13 → 307
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 (* 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))))
(/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
(+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))
(+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))
(* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(* 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) 1789971/10000000000)
(* 1049934947/10000000000 (* x x))
(* (* x x) 70002721/5000000000)
Outputs
(neg.f64 (/.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 x (-.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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.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 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))) (*.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))
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(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64))))
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(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1665589/2000000000 binary64))
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
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(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
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(*.f64 (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1665589/2000000000 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1789971/5000000000 binary64)))
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(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) x)

simplify238.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3876×*-lowering-*.f32
3876×*-lowering-*.f64
3546×+-lowering-+.f64
3546×+-lowering-+.f32
1452×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01621524
14801443
214761416
346391410
081321410
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 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))
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))
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)))))))
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))
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 (+ 1 (* 1049934947/10000000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))))
(* 1789971/10000000000 (pow x 11))
(* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 11))
(* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))) (pow x 2))) 1789971/10000000000)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 1789971/5000000000 (pow x 12))
(* 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))
(* 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))
(* 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))
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) (- (* 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 600041/2386628 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.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 #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 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)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
(+ 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 (*.f64 x 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 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.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 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 600041/2386628 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.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 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 600041/2386628 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 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 (*.f64 x 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 1789971/5000000000 binary64) (/.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) (pow.f64 x #s(literal 6 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 1789971/5000000000 binary64) (/.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) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(+.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) #s(literal 36322091/5000000000 binary64)))))))
(* 1789971/10000000000 (pow x 10))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1789971/10000000000 (pow x 10))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
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eval134.0ms (0.9%)

Compiler

Compiled 72922 to 1404 computations (98.1% saved)

prune59.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New47112483
Fresh000
Picked202
Done000
Total47312485
Accuracy
100.0%
Counts
485 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.8%
(/.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)
51.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
53.9%
(/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
49.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
▶53.9%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
52.3%
(/.f64 #s(literal 1/2 binary64) x)
▶31.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
31.4%
(*.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 x x)) x)
50.3%
(*.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)
49.5%
(*.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 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
▶49.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
▶50.3%
x
Compiler

Compiled 748 to 412 computations (44.9% saved)

simplify222.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
✓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
(+.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))) (*.f64 x x))
✓cost-diff256
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
✓cost-diff0
(*.f64 x #s(literal -833192009/1250000000 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓cost-diff768
(*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))
✓cost-diff768
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))
✓cost-diff1024
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))
✓cost-diff1024
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
Rules
5168×+-lowering-+.f64
5168×+-lowering-+.f32
4078×*-lowering-*.f32
4078×*-lowering-*.f64
1782×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065790
1198669
2782655
33249653
08128653
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))
x
(/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 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 (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))))
1
(* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))
(* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* 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 (* 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 (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))
(* (* x x) 2909738639/10000000000)
(* x x)
2909738639/10000000000
(* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))
(+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))
(* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))
(+ 694555761/10000000000 (* x (* x 70002721/5000000000)))
694555761/10000000000
(* x (* x 70002721/5000000000))
(* x 70002721/5000000000)
70002721/5000000000
(* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ 1665589/2000000000 (* x (* x 1789971/5000000000)))
1665589/2000000000
(* x (* x 1789971/5000000000))
(* x 1789971/5000000000)
1789971/5000000000
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))
(+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))
1049934947/10000000000
(* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))
(+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))
(+ 106015151/2500000000 (* x (* x 36322091/5000000000)))
106015151/2500000000
(* x (* x 36322091/5000000000))
(* x 36322091/5000000000)
36322091/5000000000
(* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))
(* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))
(+ 2532017/5000000000 (* x (* x 1789971/10000000000)))
2532017/5000000000
(* x (* x 1789971/10000000000))
(* x 1789971/10000000000)
1789971/10000000000
x
(* (+ 1 (* x (* x -833192009/1250000000))) x)
(+ 1 (* x (* x -833192009/1250000000)))
1
(* x (* x -833192009/1250000000))
x
(* x -833192009/1250000000)
-833192009/1250000000
(* (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) x)
(/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x))
(+ 1/2 (/ 600041/2386628 (* x x)))
1/2
(/ 600041/2386628 (* x x))
600041/2386628
(* x x)
x
(/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)
(+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)))
1/2
(/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))
(+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x)))
600041/2386628
(/ 1307076337763/8543989815576 (* x x))
1307076337763/8543989815576
(* x x)
x
Outputs
(/ x (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* 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 (+.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 #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
(/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))
(/.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 (*.f64 x 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) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* 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)))))))))))))
1
#s(literal 1 binary64)
(* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* 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))))))))))))
(* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
(*.f64 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 (* 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
#s(literal 7715471019/10000000000 binary64)
(+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))
(*.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) 2909738639/10000000000)
(*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))
(* x x)
(*.f64 x x)
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))
(*.f64 (*.f64 (*.f64 x 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))))))))
(+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))
(*.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) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))
(+ 694555761/10000000000 (* x (* x 70002721/5000000000)))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* x (* x 70002721/5000000000))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* x 70002721/5000000000)
(*.f64 x #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))
(* (* x x) (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 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))
(* x 1789971/5000000000)
(*.f64 x #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)
(+ 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 (*.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))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))
(*.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))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))
(+.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))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))
(*.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))) (* 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 x (*.f64 x #s(literal 36322091/5000000000 binary64))))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(* x (* x 36322091/5000000000))
(*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))
(* x 36322091/5000000000)
(*.f64 x #s(literal 36322091/5000000000 binary64))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
(* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))
(*.f64 (*.f64 x (*.f64 x 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))
(* x 1789971/10000000000)
(*.f64 x #s(literal 1789971/10000000000 binary64))
1789971/10000000000
#s(literal 1789971/10000000000 binary64)
x
(* (+ 1 (* x (* x -833192009/1250000000))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(+ 1 (* x (* x -833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
1
#s(literal 1 binary64)
(* x (* x -833192009/1250000000))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
x
(* x -833192009/1250000000)
(*.f64 x #s(literal -833192009/1250000000 binary64))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(* (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* 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))) (* x x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(+ 1/2 (/ 600041/2386628 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(/ 600041/2386628 (* x x))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
600041/2386628
#s(literal 600041/2386628 binary64)
(* x x)
(*.f64 x x)
x
(/ (+ 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)))
1/2
#s(literal 1/2 binary64)
(/ (+ 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)
(* x x)
(*.f64 x x)
x

localize306.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
✓accuracy100.0%
(/.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)
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.1%
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.3%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.0%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓accuracy74.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓accuracy99.9%
(*.f64 x #s(literal -833192009/1250000000 binary64))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))
✓accuracy99.6%
(*.f64 x #s(literal 70002721/5000000000 binary64))
✓accuracy79.6%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
✓accuracy59.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))
Results
192.0ms256×0valid
Compiler

Compiled 902 to 66 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
...c/correct-round.rkt:119:19: 49.0ms (39.2% of total)
ival-mult: 45.0ms (36% of total)
ival-add: 17.0ms (13.6% of total)
ival-div: 13.0ms (10.4% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ x (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))>
#<alt (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))>
#<alt (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* 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 (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))>
#<alt (* (+ 1 (* x (* x -833192009/1250000000))) x)>
#<alt (+ 1 (* x (* x -833192009/1250000000)))>
#<alt (* x (* x -833192009/1250000000))>
#<alt (* x -833192009/1250000000)>
#<alt (* (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) x)>
#<alt (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x))>
#<alt (+ 1/2 (/ 600041/2386628 (* x x)))>
#<alt (/ 600041/2386628 (* x x))>
#<alt (/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)>
#<alt (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)))>
#<alt (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))>
#<alt (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x)))>
#<alt (* x 70002721/5000000000)>
#<alt (* (* x x) 2909738639/10000000000)>
#<alt (* x x)>
#<alt (/ 1307076337763/8543989815576 (* x x))>
Outputs
#<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 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 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 (+ 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>
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#<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 (* -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 (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<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 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<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 (/ 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 (/ 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 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)))))>
#<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 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 (* 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 (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (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 (/ 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))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ x (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))
1.0ms
x
@inf
(/ x (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))
1.0ms
x
@inf
(* (+ 1 (* x (* x -833192009/1250000000))) x)
0.0ms
x
@0
(/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)
0.0ms
x
@0
(* (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) x)

rewrite341.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
4740×*-lowering-*.f32
4740×*-lowering-*.f64
1668×unpow-prod-down
1614×pow-lowering-pow.f64
1614×pow-lowering-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065348
1434294
24502294
08821294
Stop Event
1×iter limit
1×node limit
Counts
20 → 340
Calls
Call 1
Inputs
(/ x (/ (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 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 (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))) (+ 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 (* 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 (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))
(* (+ 1 (* x (* x -833192009/1250000000))) x)
(+ 1 (* x (* x -833192009/1250000000)))
(* x (* x -833192009/1250000000))
(* x -833192009/1250000000)
(* (/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x)) x)
(/ (+ 1/2 (/ 600041/2386628 (* x x))) (* x x))
(+ 1/2 (/ 600041/2386628 (* x x)))
(/ 600041/2386628 (* x x))
(/ (+ 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)))
(* x 70002721/5000000000)
(* (* x x) 2909738639/10000000000)
(* x x)
(/ 1307076337763/8543989815576 (* x x))
Outputs
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(*.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1307076337763/8543989815576 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1307076337763/8543989815576 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1307076337763/8543989815576 binary64))
(*.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify244.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
4756×*-lowering-*.f32
4756×*-lowering-*.f64
3182×+-lowering-+.f64
3182×+-lowering-+.f32
1640×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01691880
14441778
213391735
341701727
081441727
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 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))
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)))))
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 (+ 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))
(* -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))
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(/ 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 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 4))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
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))))
(/ 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))
(/ 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 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)))))
(/ 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 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))))
(* 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)
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (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)
(/ 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))
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) (- (* 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 (*.f64 x 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) (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 (* 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)
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 (* (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 (*.f64 x 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 (*.f64 x 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))
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1/2
#s(literal 1/2 binary64)
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1/2
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(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 2))
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600041/2386628
#s(literal 600041/2386628 binary64)
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600041/2386628
#s(literal 600041/2386628 binary64)
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(* 70002721/5000000000 x)
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(* 70002721/5000000000 x)
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(* 70002721/5000000000 x)
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(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
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(* 70002721/5000000000 x)
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(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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(*.f64 x x)
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(*.f64 x x)
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(*.f64 x x)
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(*.f64 x x)
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(*.f64 x x)
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(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
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(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
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(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))

eval107.0ms (0.7%)

Compiler

Compiled 34996 to 1682 computations (95.2% saved)

prune66.0ms (0.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7488756
Fresh527
Picked325
Done000
Total75612768
Accuracy
100.0%
Counts
768 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
53.9%
(/.f64 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 (+.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 #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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))))
49.6%
(/.f64 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 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))) (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
32.7%
(/.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)))))
32.1%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
▶52.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
▶52.1%
(/.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))))))
▶55.3%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
▶52.3%
(/.f64 #s(literal 1/2 binary64) x)
▶53.9%
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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)))))))))))) x)
✓31.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
✓50.3%
x
Compiler

Compiled 804 to 453 computations (43.7% saved)

simplify258.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.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 (+.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-diff256
(+.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 (+.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-diff384
(/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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-diff384
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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)))))))))))) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
✓cost-diff0
(/.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))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
Rules
3890×+-lowering-+.f64
3890×+-lowering-+.f32
3698×*-lowering-*.f32
3698×*-lowering-*.f64
1650×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062796
1206690
2856690
32951690
47433690
57787690
67808690
77837690
87865690
97865690
08388690
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (+ 1 (* (* x x) 833192009/1250000000)))
x
(+ 1 (* (* x x) 833192009/1250000000))
1
(* (* x x) 833192009/1250000000)
(* x x)
833192009/1250000000
(/ 1/2 x)
1/2
x
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))
x
(+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))
1
(* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))
(* x x)
(+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))
833192009/1250000000
(* (* x x) 2232300135939761477/12500000000000000000)
2232300135939761477/12500000000000000000
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))))
x
(+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))))))
1
(* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))
(* x x)
(+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))))
833192009/1250000000
(* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))
(+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))
2232300135939761477/12500000000000000000
(* (* x x) 1896885746738859378453363281/125000000000000000000000000000)
1896885746738859378453363281/125000000000000000000000000000
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))) x)
(/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))
1
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))
(* x x)
x
(+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
1049934947/10000000000
(* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
106015151/2500000000
(* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(* x 36322091/5000000000)
36322091/5000000000
(* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* 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) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* 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) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
2909738639/10000000000
(* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(* x (* x (* x x)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
Outputs
(/ x (+ 1 (* (* x x) 833192009/1250000000)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))))
x
(+ 1 (* (* x x) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
1
#s(literal 1 binary64)
(* (* x x) 833192009/1250000000)
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* x x)
(*.f64 x x)
833192009/1250000000
#s(literal 833192009/1250000000 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
x
(+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
(* x x)
(*.f64 x x)
(+ 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))
2232300135939761477/12500000000000000000
#s(literal 2232300135939761477/12500000000000000000 binary64)
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))))
(/.f64 x (+.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)))))))))
x
(+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))))))
(+.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))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))
(*.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)))))))
(* x x)
(*.f64 x x)
(+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))))
(+.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))))))
833192009/1250000000
#s(literal 833192009/1250000000 binary64)
(* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))
(+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))
(+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))
2232300135939761477/12500000000000000000
#s(literal 2232300135939761477/12500000000000000000 binary64)
(* (* x x) 1896885746738859378453363281/125000000000000000000000000000)
(*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))
1896885746738859378453363281/125000000000000000000000000000
#s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 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) (+.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))))))))))))))
(/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 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) (+.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))))))))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))
(*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))
(* x x)
(*.f64 x x)
x
(+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
(+.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 x (*.f64 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) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
(* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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)
(* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(* 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)))
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 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* 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) (+ (+ 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) (+ (+ 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
#s(literal 7715471019/10000000000 binary64)
(* (* x x) (+ 2909738639/10000000000 (* (* 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 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))))))))))
(+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+.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)))))))))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* 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 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)))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* x x) 70002721/5000000000)
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#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))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(+ 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)

localize330.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy80.3%
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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)))))))))))) x)
✓accuracy54.7%
(/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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))))))))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))
✓accuracy98.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
✓accuracy100.0%
(+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))
✓accuracy96.2%
(/.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))))))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
✓accuracy79.5%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
Results
216.0ms256×0valid
Compiler

Compiled 863 to 63 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
...c/correct-round.rkt:119:19: 68.0ms (47% of total)
ival-mult: 46.0ms (31.8% of total)
ival-add: 21.0ms (14.5% of total)
ival-div: 9.0ms (6.2% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ x (+ 1 (* (* x x) 833192009/1250000000)))>
#<alt (+ 1 (* (* x x) 833192009/1250000000))>
#<alt (* (* x x) 833192009/1250000000)>
#<alt (* x x)>
#<alt (/ 1/2 x)>
#<alt (/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))>
#<alt (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))>
#<alt (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))>
#<alt (/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))))>
#<alt (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))))))>
#<alt (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))>
#<alt (* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))) x)>
#<alt (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))>
#<alt (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* 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) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))>
#<alt (* (* x x) 2232300135939761477/12500000000000000000)>
#<alt (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))>
#<alt (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)>
#<alt (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* (* x x) 1789971/5000000000)>
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 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 (* 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 (/ 1/2 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 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))>
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#<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 1>
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#<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 (* 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 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 (/ 125000000000000000000000000000/1896885746738859378453363281 (pow x 5))>
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#<alt (/ (- (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4))) (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4))) (+ (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) (* 564690298587138160108745444202230160423287152521080910890625000000000000000000000000000000000000000000000000000000/12946867189171715867970122915977537001026085873024070609294244748831215699311210387873573124118513393616371521 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ 125000000000000000000000000000/1896885746738859378453363281 (pow x 5))>
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#<alt (* -1 (/ (- (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) (* 564690298587138160108745444202230160423287152521080910890625000000000000000000000000000000000000000000000000000000/12946867189171715867970122915977537001026085873024070609294244748831215699311210387873573124118513393616371521 (/ 1 (pow x 6)))) (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4)))) (pow x 5)))>
#<alt 1>
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#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))>
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#<alt (* 833192009/1250000000 (pow x 2))>
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#<alt x>
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#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
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#<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)>
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#<alt 1>
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#<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))>
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#<alt (/ 1/2 (pow x 2))>
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#<alt 1>
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#<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 (* 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>
#<alt (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))>
#<alt (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))>
#<alt (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))>
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#<alt (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))>
#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 4))>
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#<alt (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 4))>
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#<alt (* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (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 (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ x (+ 1 (* (* x x) 833192009/1250000000)))
1.0ms
x
@inf
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))))
1.0ms
x
@inf
(/ x (+ 1 (* (* x x) 833192009/1250000000)))
1.0ms
x
@-inf
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))) x)
1.0ms
x
@inf
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))) x)

rewrite374.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
4750×*-lowering-*.f32
4750×*-lowering-*.f64
1726×unpow-prod-down
1602×+-lowering-+.f64
1602×+-lowering-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062375
1453323
24653323
08955323
Stop Event
1×iter limit
1×node limit
Counts
21 → 318
Calls
Call 1
Inputs
(/ x (+ 1 (* (* x x) 833192009/1250000000)))
(+ 1 (* (* x x) 833192009/1250000000))
(* (* x x) 833192009/1250000000)
(* x x)
(/ 1/2 x)
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))
(+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))
(* (* x x) (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))
(/ x (+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))))
(+ 1 (* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000))))))
(* (* x x) (+ 833192009/1250000000 (* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))))
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))) x)
(/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* 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) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x (* x x))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
(* (* x x) 2232300135939761477/12500000000000000000)
(+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))
(* (* x x) 1896885746738859378453363281/125000000000000000000000000000)
(* (* x x) (+ 2232300135939761477/12500000000000000000 (* (* x x) 1896885746738859378453363281/125000000000000000000000000000)))
(* (* x x) 1789971/10000000000)
(* (* x x) 1789971/5000000000)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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 x x) #s(literal 833192009/1250000000 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)))) (/.f64 (*.f64 (*.f64 x (*.f64 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 x (*.f64 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 #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 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 694208923861456081/1562500000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 694208923861456081/1562500000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 694208923861456081/1562500000000000000 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 694208923861456081/1562500000000000000 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 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)))))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(*.f64 #s(literal 833192009/1250000000 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 833192009/1250000000 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 833192009/1250000000 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 833192009/1250000000 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) #s(literal -1 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4983163896916677569832950423653221529/156250000000000000000000000000000000000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11123917444497210886789059817128377745771733614901238333/1953125000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 6825327888846268101102997630721395935216283108829560954454455307592395550276717041/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) (+.f64 #s(literal 4983163896916677569832950423653221529/156250000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4983163896916677569832950423653221529/156250000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3598175536181040163119121848105875559820936700559084961/15625000000000000000000000000000000000000000000000000000000 binary64)))) (-.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 11123917444497210886789059817128377745771733614901238333/1953125000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 6825327888846268101102997630721395935216283108829560954454455307592395550276717041/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (*.f64 x x)) (+.f64 #s(literal 4983163896916677569832950423653221529/156250000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4983163896916677569832950423653221529/156250000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3598175536181040163119121848105875559820936700559084961/15625000000000000000000000000000000000000000000000000000000 binary64))) (*.f64 x x)) (-.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))
(*.f64 (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))) x)
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/10000000000 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/5000000000 binary64)) x)

simplify297.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3236×*-lowering-*.f32
3236×*-lowering-*.f64
2288×+-lowering-+.f64
2288×+-lowering-+.f32
2184×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02482232
17652101
222762064
372312064
080622064
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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))
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))))
(* 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)
(/ 1/2 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)
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)))
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)))))
(* 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)))))
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))))
(/ 125000000000000000000000000000/1896885746738859378453363281 (pow x 5))
(/ (- 125000000000000000000000000000/1896885746738859378453363281 (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4))) (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4))) (+ (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) (* 564690298587138160108745444202230160423287152521080910890625000000000000000000000000000000000000000000000000000000/12946867189171715867970122915977537001026085873024070609294244748831215699311210387873573124118513393616371521 (/ 1 (pow x 6))))) (pow x 5))
(/ 125000000000000000000000000000/1896885746738859378453363281 (pow x 5))
(* -1 (/ (- (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) 125000000000000000000000000000/1896885746738859378453363281) (pow x 5)))
(* -1 (/ (- (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4)))) (pow x 5)))
(* -1 (/ (- (+ (* 2790375169924701846250000000000000000000000000000000000000/3598175536181040163119121848105875559820936700559084961 (/ 1 (pow x 2))) (* 564690298587138160108745444202230160423287152521080910890625000000000000000000000000000000000000000000000000000000/12946867189171715867970122915977537001026085873024070609294244748831215699311210387873573124118513393616371521 (/ 1 (pow x 6)))) (+ 125000000000000000000000000000/1896885746738859378453363281 (/ 42533673134348276574136266984375000000000000000000000000000000000000000000000000000000/6825327888846268101102997630721395935216283108829560954454455307592395550276717041 (pow x 4)))) (pow x 5)))
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)))))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (+ (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (+ (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 833192009/1250000000 (pow x 2))
(* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))
(* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))))
(* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1896885746738859378453363281/125000000000000000000000000000 (+ (/ 833192009/1250000000 (pow x 4)) (* 2232300135939761477/12500000000000000000 (/ 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))
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))
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)))))))
(* 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
(+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))
(+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))
(+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))
(* (pow x 2) (+ 2232300135939761477/12500000000000000000 (* 1896885746738859378453363281/125000000000000000000000000000 (pow x 2))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 4))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* 1896885746738859378453363281/125000000000000000000000000000 (pow x 4))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (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))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x 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)
(/.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) x)
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2441406250000000000000000000000000000/481926029968880926147728105491878561 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ 1250000000/833192009 x)
(/.f64 #s(literal 1250000000/833192009 binary64) x)
(* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) 1250000000/833192009) x))
(/.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6)))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -2441406250000000000000000000000000000/481926029968880926147728105491878561 binary64) (pow.f64 x #s(literal 6 binary64)))) 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 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(* 833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)
(/ 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)
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) (- (* 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 (* -453702676796795551172189623/7812500000000000000000000000 (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) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -453702676796795551172189623/7812500000000000000000000000 binary64))))))))
(/ 12500000000000000000/2232300135939761477 (pow x 3))
(/.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (*.f64 x (*.f64 x x)))
(/ (- 12500000000000000000/2232300135939761477 (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (/.f64 #s(literal -104149001125000000000000000000000000000/4983163896916677569832950423653221529 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/ (- (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4))) (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (/.f64 #s(literal -104149001125000000000000000000000000000/4983163896916677569832950423653221529 binary64) (*.f64 x x))) (/.f64 #s(literal 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
(/ (- (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4))) (+ (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (* 1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 (/ 1 (pow x 6))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (/.f64 #s(literal 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -104149001125000000000000000000000000000/4983163896916677569832950423653221529 binary64) (*.f64 x x)) (/.f64 #s(literal -1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x x)))
(/ 12500000000000000000/2232300135939761477 (pow x 3))
(/.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) 12500000000000000000/2232300135939761477) (pow x 3)))
(/.f64 (+.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (/.f64 #s(literal -104149001125000000000000000000000000000/4983163896916677569832950423653221529 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (/.f64 #s(literal -104149001125000000000000000000000000000/4983163896916677569832950423653221529 binary64) (*.f64 x x))) (/.f64 #s(literal 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (+ (* 104149001125000000000000000000000000000/4983163896916677569832950423653221529 (/ 1 (pow x 2))) (* 1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 (/ 1 (pow x 6)))) (+ 12500000000000000000/2232300135939761477 (/ 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal 12500000000000000000/2232300135939761477 binary64) (/.f64 #s(literal 518964258586232370468750000000000000000000000000000000000/11123917444497210886789059817128377745771733614901238333 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -104149001125000000000000000000000000000/4983163896916677569832950423653221529 binary64) (*.f64 x x)) (/.f64 #s(literal -1417820864989986097413092571875000000000000000000000000000000000000000000000/24831922423533807957369452371648119595403150796708447229213211899949097841 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.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) (+ 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 (* 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))))))
(* 2232300135939761477/12500000000000000000 (pow x 4))
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(*.f64 (+.f64 #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64) (/.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64) (/.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1896885746738859378453363281/125000000000000000000000000000 (* 2232300135939761477/12500000000000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64) (/.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))

eval102.0ms (0.7%)

Compiler

Compiled 35418 to 1766 computations (95% saved)

prune68.0ms (0.4%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New7886794
Fresh235
Picked145
Done022
Total79115806
Accuracy
100.0%
Counts
806 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
▶53.9%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
32.7%
(/.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)))))
▶32.1%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓52.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
✓52.1%
(/.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))))))
✓55.3%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
51.9%
(/.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 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
▶55.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
▶52.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x))
✓52.3%
(/.f64 #s(literal 1/2 binary64) x)
▶49.6%
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
53.9%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.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 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))))) x)
✓31.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
✓50.3%
x
Compiler

Compiled 840 to 500 computations (40.5% saved)

simplify225.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))))
✓cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))))
✓cost-diff128
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
✓cost-diff128
(*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 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 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))
✓cost-diff128
(+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))
✓cost-diff128
(/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))))
✓cost-diff128
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x))
✓cost-diff0
(*.f64 x #s(literal 2 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
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
Rules
3552×*-lowering-*.f32
3552×*-lowering-*.f64
3250×+-lowering-+.f64
3250×+-lowering-+.f32
1886×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0881290
13101149
210781147
329651147
474631147
576801147
678701147
080641147
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ 1 (* (* x x) 833192009/1250000000)) x))
1
(/ (+ 1 (* (* x x) 833192009/1250000000)) x)
(+ 1 (* (* x x) 833192009/1250000000))
(* (* x x) 833192009/1250000000)
(* x x)
x
833192009/1250000000
(/ x (+ (* x (* x 2)) -600041/596657))
x
(+ (* x (* x 2)) -600041/596657)
(* x (* x 2))
(* x 2)
2
-600041/596657
(/ 1 (/ (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))) x))
1
(/ (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))) x)
(+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))
(* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))
x
(* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))
(+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))
833192009/1250000000
(* (* x x) 2232300135939761477/12500000000000000000)
(* x x)
2232300135939761477/12500000000000000000
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))))) x)
(/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))
1
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))
(* x x)
x
(+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
1049934947/10000000000
(* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
106015151/2500000000
(* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(* x 36322091/5000000000)
36322091/5000000000
(* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))))
(* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))
(* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))
(+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))
2909738639/10000000000
(* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))
(+ 694555761/10000000000 (* x (* x 70002721/5000000000)))
694555761/10000000000
(* x (* x 70002721/5000000000))
(* x 70002721/5000000000)
70002721/5000000000
(/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))))))
x
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))))))
1
(* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))
(* x x)
(+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))))
7715471019/10000000000
(* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))
(* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))
2909738639/10000000000
(* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
(* 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)))))))
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 (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
(+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))))
(* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))
(* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))
(+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))
1049934947/10000000000
(* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))
(+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))
106015151/2500000000
(* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))
(* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))
(+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))
36322091/5000000000
(* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))
(+ 2532017/5000000000 (* x (* x 1789971/10000000000)))
2532017/5000000000
(* x (* x 1789971/10000000000))
(* x 1789971/10000000000)
1789971/10000000000
Outputs
(/ 1 (/ (+ 1 (* (* x x) 833192009/1250000000)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* x x) 833192009/1250000000)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))) x)
(+ 1 (* (* x x) 833192009/1250000000))
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(* (* x x) 833192009/1250000000)
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* x x)
(*.f64 x x)
x
833192009/1250000000
#s(literal 833192009/1250000000 binary64)
(/ x (+ (* x (* x 2)) -600041/596657))
(/.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64)))
x
(+ (* x (* x 2)) -600041/596657)
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(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* x 2)
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2
#s(literal 2 binary64)
-600041/596657
#s(literal -600041/596657 binary64)
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1
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(*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))
x
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(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))))
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(+.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 x)
(*.f64 x x)
2232300135939761477/12500000000000000000
#s(literal 2232300135939761477/12500000000000000000 binary64)
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))))) x)
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(/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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)))))))))))))) (+.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 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))
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1
#s(literal 1 binary64)
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))
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(* x x)
(*.f64 x x)
x
(+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
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1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
(* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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 (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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)))))))))
(+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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))))))))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(*.f64 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) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(*.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)
(* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(* 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)))
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 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))))
(+.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 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))
(* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))
(*.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 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))
(* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))
(*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))
(+.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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))
(+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))
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2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
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(*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))
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694555761/10000000000
#s(literal 694555761/10000000000 binary64)
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(*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))
(* x 70002721/5000000000)
(*.f64 x #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))))))
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x
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))))
(/.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 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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)))))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* 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)))))))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* 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))))))))))))
(* x x)
(*.f64 x x)
(+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* 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
#s(literal 7715471019/10000000000 binary64)
(* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))
(*.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 (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(*.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 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
(+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))
(+.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)))))))))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
(*.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 (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))
(*.f64 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 (+ 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
#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 (*.f64 x 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 (*.f64 x 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))
(* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.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)
(+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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 (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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 (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))
(*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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))))))))))))
(+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* 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 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)))))))))))
1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
(* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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))))))))))
(+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 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))))))))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))
(*.f64 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 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))
(*.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))))))
(+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))
(+.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)))))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
(* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))
(*.f64 (*.f64 x 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))
(* x 1789971/10000000000)
(*.f64 x #s(literal 1789971/10000000000 binary64))
1789971/10000000000
#s(literal 1789971/10000000000 binary64)

localize420.0ms (2.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 x #s(literal 70002721/5000000000 binary64))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
✓accuracy79.6%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
✓accuracy59.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal 70002721/5000000000 binary64))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy61.9%
(/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x))
✓accuracy96.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x)
✓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))
✓accuracy79.1%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
✓accuracy79.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)
Results
253.0ms256×0valid
Compiler

Compiled 1381 to 89 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 66.0ms (40.8% of total)
...c/correct-round.rkt:119:19: 53.0ms (32.7% of total)
ival-add: 28.0ms (17.3% of total)
ival-div: 13.0ms (8% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.1%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ 1 (* (* x x) 833192009/1250000000)) x))>
#<alt (/ (+ 1 (* (* x x) 833192009/1250000000)) x)>
#<alt (+ 1 (* (* x x) 833192009/1250000000))>
#<alt (* (* x x) 833192009/1250000000)>
#<alt (/ x (+ (* x (* x 2)) -600041/596657))>
#<alt (+ (* x (* x 2)) -600041/596657)>
#<alt (* x (* x 2))>
#<alt (* x 2)>
#<alt (/ 1 (/ (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))) x))>
#<alt (/ (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))) x)>
#<alt (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))>
#<alt (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))>
#<alt (* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))))) x)>
#<alt (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))))>
#<alt (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))>
#<alt (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))>
#<alt (/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))))))>
#<alt (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))))>
#<alt (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))))))>
#<alt (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))>
#<alt (* x x)>
#<alt (* (* x x) 2232300135939761477/12500000000000000000)>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* x 70002721/5000000000)>
#<alt (* x (* x 70002721/5000000000))>
#<alt (* (* x x) 1789971/5000000000)>
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 (/ 1 x)>
#<alt (/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)>
#<alt (/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)>
#<alt (/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)>
#<alt (* 833192009/1250000000 x)>
#<alt (* x (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* x (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* x (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* 833192009/1250000000 x)>
#<alt (* x (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* x (+ 833192009/1250000000 (/ 1 (pow x 2))))>
#<alt (* x (+ 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) (+ 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 (* 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 (* -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 (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 (* 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 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 (/ 1 x)>
#<alt (/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))) x)>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 3))>
#<alt (* (pow x 3) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 3) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 2232300135939761477/12500000000000000000 (pow x 3))>
#<alt (* (pow x 3) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 833192009/1250000000 (/ 1 (pow x 2))) (pow x 2))) 2232300135939761477/12500000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 833192009/1250000000 (/ 1 (pow x 2))) (pow x 2))) 2232300135939761477/12500000000000000000)))>
#<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 (* 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 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 (* 1789971/140005442 (pow x 3))>
#<alt (* (pow x 3) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* 1789971/140005442 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 534242351599903/19601523789615364 (/ 1 (pow x 2))) 1789971/140005442)))>
#<alt (* -1 (* (pow x 3) (- (* 534242351599903/19601523789615364 (/ 1 (pow x 2))) (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 1065800731500896426613133/2744320002038614046810888 (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 2)))) (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))) 1789971/140005442)))>
#<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 (* 1789971/140005442 (pow x 2))>
#<alt (* (pow x 2) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* 1789971/140005442 (pow x 2))>
#<alt (* (pow x 2) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<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 (* 1049934947/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (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 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 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 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 (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 (* 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 (* 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 (* 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 (* 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 (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
#<alt (* 1789971/5000000000 (pow x 2))>
Calls

78 calls:

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

rewrite353.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
3456×*-lowering-*.f32
3456×*-lowering-*.f64
1776×fma-lowering-fma.f32
1776×fma-lowering-fma.f64
1698×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088512
1664450
25804450
08027450
Stop Event
1×iter limit
1×node limit
Counts
26 → 371
Calls
Call 1
Inputs
(/ 1 (/ (+ 1 (* (* x x) 833192009/1250000000)) x))
(/ (+ 1 (* (* x x) 833192009/1250000000)) x)
(+ 1 (* (* x x) 833192009/1250000000))
(* (* x x) 833192009/1250000000)
(/ x (+ (* x (* x 2)) -600041/596657))
(+ (* x (* x 2)) -600041/596657)
(* x (* x 2))
(* x 2)
(/ 1 (/ (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))) x))
(/ (+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))) x)
(+ 1 (* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000)))))
(* x (* x (+ 833192009/1250000000 (* (* x x) 2232300135939761477/12500000000000000000))))
(* (/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))))) x)
(/ (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x (* x x)) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))
(/ x (/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))))))
(/ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))) (+ 1 (* x (* x (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (* x (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))))))
(* (* x x) (+ 7715471019/10000000000 (* x (* x (+ 2909738639/10000000000 (* x (* x (+ 694555761/10000000000 (* x (+ (* x 70002721/5000000000) (* (* x x) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))))
(* x x)
(* (* x x) 2232300135939761477/12500000000000000000)
(* (* x x) 1789971/10000000000)
(* x 70002721/5000000000)
(* x (* x 70002721/5000000000))
(* (* x x) 1789971/5000000000)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.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 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) (*.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
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(*.f64 (*.f64 #s(literal 1 binary64) (+.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 x (*.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)))))))))))))) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64))
(*.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/10000000000 binary64)) x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(*.f64 #s(literal 70002721/5000000000 binary64) x)
(*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/5000000000 binary64)) x)

simplify349.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
4178×+-lowering-+.f64
4178×+-lowering-+.f32
3924×*-lowering-*.f32
3924×*-lowering-*.f64
1864×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03602791
110792648
233242616
379752616
080152616
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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))
(/ 1 x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(* 833192009/1250000000 x)
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* 833192009/1250000000 x)
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(* x (+ 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) (+ 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))))
(* 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))
(* -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 (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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -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)))
(/ 1 x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 2232300135939761477/12500000000000000000 (pow x 2))))) x)
(* 2232300135939761477/12500000000000000000 (pow x 3))
(* (pow x 3) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 3) (+ 2232300135939761477/12500000000000000000 (+ (* 833192009/1250000000 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 2232300135939761477/12500000000000000000 (pow x 3))
(* (pow x 3) (+ 2232300135939761477/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 833192009/1250000000 (/ 1 (pow x 2))) (pow x 2))) 2232300135939761477/12500000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 833192009/1250000000 (/ 1 (pow x 2))) (pow x 2))) 2232300135939761477/12500000000000000000)))
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)))))
(* 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)))))
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))))
(* 1789971/140005442 (pow x 3))
(* (pow x 3) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* 1789971/140005442 (pow x 3))
(* -1 (* (pow x 3) (- (* 534242351599903/19601523789615364 (/ 1 (pow x 2))) 1789971/140005442)))
(* -1 (* (pow x 3) (- (* 534242351599903/19601523789615364 (/ 1 (pow x 2))) (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 1065800731500896426613133/2744320002038614046810888 (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 2)))) (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))) 1789971/140005442)))
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)))
(* 1789971/140005442 (pow x 2))
(* (pow x 2) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* 1789971/140005442 (pow x 2))
(* (pow x 2) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 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)))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (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)))))))
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))
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)))))
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)))))))
(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)
(* 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))
(* 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))
(* 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)
(* 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))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
(* 1789971/5000000000 (pow x 2))
Outputs
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) (- (* 694208923861456081/1562500000000000000 (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 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 (*.f64 x 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)
(/.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) x)
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) x)
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1562500000000000000/694208923861456081 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2441406250000000000000000000000000000/481926029968880926147728105491878561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1250000000/833192009 binary64)))) x)
(/ 1250000000/833192009 x)
(/.f64 #s(literal 1250000000/833192009 binary64) x)
(* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) 1250000000/833192009) x))
(/.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6)))) (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1953125000000000000000000000/578409327937854629793656729 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1562500000000000000/694208923861456081 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2441406250000000000000000000000000000/481926029968880926147728105491878561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1250000000/833192009 binary64)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))) x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))) x)
(/ (+ 1 (* 833192009/1250000000 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))) x)
(* 833192009/1250000000 x)
(*.f64 x #s(literal 833192009/1250000000 binary64))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* 833192009/1250000000 x)
(*.f64 x #s(literal 833192009/1250000000 binary64))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (+ 833192009/1250000000 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* (pow x 2) (+ 833192009/1250000000 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* 833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))
(* -596657/600041 x)
(*.f64 x #s(literal -596657/600041 binary64))
(* x (- (* -711999151298/360049201681 (pow x 2)) 596657/600041))
(*.f64 x (+.f64 #s(literal -596657/600041 binary64) (*.f64 (*.f64 x x) #s(literal -711999151298/360049201681 binary64))))
(* x (- (* (pow x 2) (- (* -849638555232021572/216044283025868921 (pow x 2)) 711999151298/360049201681)) 596657/600041))
(*.f64 x (+.f64 #s(literal -596657/600041 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -711999151298/360049201681 binary64) (*.f64 x (*.f64 x #s(literal -849638555232021572/216044283025868921 binary64)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1013885582898144590169608/129635427631125413225761 (pow x 2)) 849638555232021572/216044283025868921)) 711999151298/360049201681)) 596657/600041))
(*.f64 x (+.f64 #s(literal -596657/600041 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -711999151298/360049201681 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -849638555232021572/216044283025868921 binary64) (*.f64 (*.f64 x x) #s(literal -1013885582898144590169608/129635427631125413225761 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 (+ (/ 360049201681/2847996605192 (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 360049201681/2847996605192 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(/ (+ 1/2 (+ (/ 360049201681/2847996605192 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 216044283025868921/3398554220928086288 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/2847996605192 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 216044283025868921/3398554220928086288 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 (* 360049201681/2847996605192 (/ 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 360049201681/2847996605192 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 360049201681/2847996605192 (* 216044283025868921/3398554220928086288 (/ 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 360049201681/2847996605192 binary64) (/.f64 #s(literal 216044283025868921/3398554220928086288 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
-600041/596657
#s(literal -600041/596657 binary64)
(- (* 2 (pow x 2)) 600041/596657)
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64))
(- (* 2 (pow x 2)) 600041/596657)
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64))
(- (* 2 (pow x 2)) 600041/596657)
(+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 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 x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 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 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(* (pow x 2) (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 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)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
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(*.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 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x 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 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x 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 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 2232300135939761477/12500000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2232300135939761477/12500000000000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 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))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))

eval111.0ms (0.7%)

Compiler

Compiled 42113 to 2129 computations (94.9% saved)

prune103.0ms (0.7%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New8685873
Fresh134
Picked235
Done156
Total87216888
Accuracy
100.0%
Counts
888 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
53.9%
(/.f64 x (/.f64 (+.f64 (*.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 x (*.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)))))))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
32.7%
(/.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)))))
✓32.1%
(/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -600041/596657 binary64)))
✓52.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
✓52.1%
(/.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))))))
✓55.3%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
51.9%
(/.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 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
✓55.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
✓52.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 2232300135939761477/12500000000000000000 binary64)))))) x))
✓52.3%
(/.f64 #s(literal 1/2 binary64) x)
53.9%
(*.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 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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)
51.2%
(*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
49.8%
(*.f64 (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
32.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
✓50.3%
x
Compiler

Compiled 1924 to 603 computations (68.7% saved)

regimes38.0ms (0.2%)

Counts
33 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
(*.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 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) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
(*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
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(/.f64 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 (+.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 #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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
(/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 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 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
(/.f64 #s(literal 1/2 binary64) x)
Calls

2 calls:

9.0ms
(*.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)
9.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
100.0%3(*.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)

regimes18.0ms (0.1%)

Counts
30 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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)
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Outputs
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(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
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(/.f64 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 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))) (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
(*.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 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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)
(/.f64 x (/.f64 (+.f64 (*.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 x (*.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)))))))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.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 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))))) x)
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
Outputs
(/.f64 x (/.f64 (+.f64 (*.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 x (*.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)))))))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))))
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
(*.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 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) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
(*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
(*.f64 (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
(/.f64 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 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))) (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
(*.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 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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)
Outputs
(*.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 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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)
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
(*.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 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) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
(*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
(*.f64 (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
(*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
(/.f64 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 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))) (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))
Outputs
(*.f64 (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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:

9.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
(*.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 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) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
(*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))))) x)
Outputs
(*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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:

6.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64))))))))
(*.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 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) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal 1896885746738859378453363281/125000000000000000000000000000 binary64)))))))) x))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 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:

13.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts
15 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x 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 (*.f64 x 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
99.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x 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:

5.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.4%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 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.4%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 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -600041/596657 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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
99.1%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 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.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 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes48.0ms (0.3%)

Counts
3 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

46.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) 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
50.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
27.0ms
7677696.815869183
443823146555430.6
Results
24.0ms64×0valid
Compiler

Compiled 586 to 263 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
...c/correct-round.rkt:119:19: 9.0ms (42.4% of total)
ival-mult: 8.0ms (37.7% of total)
ival-add: 3.0ms (14.1% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
15.0ms
7677696.815869183
443823146555430.6
Results
13.0ms32×0valid
Compiler

Compiled 346 to 141 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (33.2% of total)
ival-add: 3.0ms (24.9% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
7677696.815869183
443823146555430.6
Results
6.0ms16×0valid
Compiler

Compiled 256 to 95 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.3% of total)
...c/correct-round.rkt:119:19: 2.0ms (39.3% of total)
ival-add: 1.0ms (19.7% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
9.0ms
7677696.815869183
443823146555430.6
Results
8.0ms16×0valid
Compiler

Compiled 256 to 94 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
...c/correct-round.rkt:119:19: 4.0ms (56.4% of total)
ival-mult: 2.0ms (28.2% of total)
ival-add: 1.0ms (14.1% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch68.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
63.0ms
0.17198080226668486
2.82690223120322
Results
58.0ms112×0valid
Compiler

Compiled 682 to 362 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 24.0ms (45.4% of total)
...c/correct-round.rkt:119:19: 15.0ms (28.4% of total)
ival-mult: 14.0ms (26.5% of total)
ival-div: 1.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch71.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
66.0ms
0.17198080226668486
2.82690223120322
Results
61.0ms112×0valid
Compiler

Compiled 640 to 334 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 36.0ms (63.8% of total)
...c/correct-round.rkt:119:19: 14.0ms (24.8% of total)
ival-add: 6.0ms (10.6% of total)
ival-div: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
59.0ms
0.17198080226668486
2.82690223120322
Results
54.0ms112×0valid
Compiler

Compiled 458 to 222 computations (51.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
...c/correct-round.rkt:119:19: 29.0ms (59% of total)
ival-mult: 14.0ms (28.5% of total)
ival-add: 6.0ms (12.2% of total)
ival-div: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch63.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
57.0ms
0.17198080226668486
2.82690223120322
Results
43.0ms112×0valid
Compiler

Compiled 458 to 229 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 17.0ms (44.6% of total)
...c/correct-round.rkt:119:19: 14.0ms (36.7% of total)
ival-add: 6.0ms (15.7% of total)
ival-div: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch74.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
68.0ms
0.17198080226668486
2.82690223120322
Results
64.0ms112×0valid
Compiler

Compiled 416 to 201 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 38.0ms (64.8% of total)
...c/correct-round.rkt:119:19: 14.0ms (23.9% of total)
ival-add: 5.0ms (8.5% of total)
ival-div: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch83.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
59.0ms
0.17198080226668486
2.82690223120322
Results
54.0ms112×0valid
Compiler

Compiled 374 to 180 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (38.4% of total)
ival-add: 16.0ms (32.3% of total)
...c/correct-round.rkt:119:19: 14.0ms (28.3% of total)
ival-div: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch301.0ms (2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
295.0ms
0.17198080226668486
2.82690223120322
Results
291.0ms112×0valid
Compiler

Compiled 374 to 180 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 286.0ms
...c/correct-round.rkt:119:19: 262.0ms (91.5% of total)
ival-mult: 18.0ms (6.3% of total)
ival-add: 6.0ms (2.1% of total)
ival-div: 1.0ms (0.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
0.17198080226668486
2.82690223120322
Results
46.0ms112×0valid
Compiler

Compiled 332 to 159 computations (52.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
...c/correct-round.rkt:119:19: 15.0ms (38.3% of total)
ival-mult: 14.0ms (35.8% of total)
ival-add: 10.0ms (25.6% of total)
ival-div: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch59.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
54.0ms
0.17198080226668486
2.82690223120322
Results
50.0ms112×0valid
Compiler

Compiled 290 to 131 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
...c/correct-round.rkt:119:19: 16.0ms (35.6% of total)
ival-add: 14.0ms (31.1% of total)
ival-mult: 14.0ms (31.1% of total)
ival-div: 1.0ms (2.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
0.17198080226668486
2.82690223120322
Results
43.0ms112×0valid
Compiler

Compiled 290 to 131 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 16.0ms (42% of total)
...c/correct-round.rkt:119:19: 16.0ms (42% of total)
ival-add: 6.0ms (15.7% of total)
ival-div: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
0.17198080226668486
2.82690223120322
Results
43.0ms112×0valid
Compiler

Compiled 234 to 89 computations (62% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 16.0ms (41.4% of total)
...c/correct-round.rkt:119:19: 16.0ms (41.4% of total)
ival-add: 6.0ms (15.5% of total)
ival-div: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
176×*-commutative_binary64
118×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228713
1378713
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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)))))))))))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (/.f64 x (/.f64 (+.f64 (*.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 x (*.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)))))))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (*.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 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 1080863910568919/562949953421312 binary64)) (*.f64 (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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))
(if (<=.f64 x #s(literal 5/2 binary64)) (*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 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))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (*.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 (*.f64 x 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))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (/.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)))))) (/.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))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (/.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)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (*.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x
Outputs
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (*.f64 (+.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.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 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (*.f64 (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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)))))))))))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (*.f64 x (/.f64 (+.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 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.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 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (/.f64 x (/.f64 (+.f64 (*.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 x (*.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)))))))))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (/.f64 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 x (*.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))))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (*.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 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 10000000 binary64)) (*.f64 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 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 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) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.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))))))))))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 1080863910568919/562949953421312 binary64)) (*.f64 (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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))
(if (<=.f64 x #s(literal 1080863910568919/562949953421312 binary64)) (*.f64 x (/.f64 (+.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 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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))
(if (<=.f64 x #s(literal 5/2 binary64)) (*.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 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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))
(if (<=.f64 x #s(literal 5/2 binary64)) (*.f64 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 x (*.f64 x #s(literal 36322091/5000000000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 70002721/5000000000 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))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2232300135939761477/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1896885746738859378453363281/125000000000000000000000000000 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))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (*.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 (*.f64 x 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))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (*.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))))))))) (/.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))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (/.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)))))) (/.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))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (/.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)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (*.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (*.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)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 799388933858263/562949953421312 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

soundness3.2s (20.6%)

Rules
5032×+-lowering-+.f64
5032×+-lowering-+.f32
4756×*-lowering-*.f32
4756×*-lowering-*.f64
4750×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045166
1141104
268870
3420264
4635160
5648860
6660460
7687260
8719060
9719260
0811760
01621524
14801443
214761416
346391410
081321410
065348
1434294
24502294
08821294
088512
1664450
25804450
08027450
062375
1453323
24653323
08955323
03602791
110792648
233242616
379752616
080152616
077635
1588381
26736381
08318381
02482232
17652101
222762064
372312064
080622064
01691880
14441778
213391735
341701727
081441727
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1130 to 491 computations (56.5% saved)

preprocess157.0ms (1%)

Compiler

Compiled 1982 to 650 computations (67.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...