Jmat.Real.dawson

Time bar (total: 12.0s)

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)

sample4.4s (36.9%)

Results
3.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
...c/correct-round.rkt:119:19: 1.5s (45.7% of total)
ival-mult: 1.2s (36.3% of total)
ival-add: 519.0ms (15.7% of total)
ival-div: 60.0ms (1.8% of total)
const: 14.0ms (0.4% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess362.0ms (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
077301
1352226
21321190
36842187
045100
114375
269363
3421660
4635658
5649358
6660958
7687758
8719558
9719758
0812258
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 (*.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 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 1049934947/10000000000 (square x) (fma 106015151/2500000000 (pow x 4) 1)) (fma (pow x 6) (+ 36322091/5000000000 (* 2532017/5000000000 (square x))) (* 1789971/10000000000 (pow (square x) 5))))) (sum5 1 (* 7715471019/10000000000 (square x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ 694555761/10000000000 (* 70002721/5000000000 (square x)))) (* (pow (square x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (square 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 x) (+ (fma 1049934947/10000000000 (square x) (fma 106015151/2500000000 (pow x 4) 1)) (fma (pow x 6) (+ 36322091/5000000000 (* 2532017/5000000000 (square x))) (* 1789971/10000000000 (pow (square x) 5))))) (sum5 1 (* 7715471019/10000000000 (square x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ 694555761/10000000000 (* 70002721/5000000000 (square x)))) (* (pow (square x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (square 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 1049934947/10000000000 (square x) (fma 106015151/2500000000 (pow x 4) 1)) (fma (pow x 6) (+ 36322091/5000000000 (* 2532017/5000000000 (square x))) (* 1789971/10000000000 (pow (square x) 5))))) (sum5 1 (* 7715471019/10000000000 (square x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ 694555761/10000000000 (* 70002721/5000000000 (square x)))) (* (pow (square x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (square x))))))
Symmetry

(negabs x)

explain609.0ms (5.1%)

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)))))
660-2(1.798913801564485e+160)(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
10-0-(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-x
00-0-(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
00-0-(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 1665589/2000000000 binary64)
00-0-(*.f64 x x)
00-0-#s(literal 36322091/5000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 106015151/2500000000 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-#s(literal 2909738639/10000000000 binary64)
00-0-(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
00-0-#s(literal 694555761/10000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 1789971/10000000000 binary64)
00-0-(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-#s(literal 2 binary64)
00-0-#s(literal 7715471019/10000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
00-0-(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(+.f64 (+.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
293.0ms512×0valid
Compiler

Compiled 2266 to 134 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
...c/correct-round.rkt:119:19: 95.0ms (48.6% of total)
ival-mult: 71.0ms (36.3% of total)
ival-add: 25.0ms (12.8% of total)
ival-div: 3.0ms (1.5% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 104 to 48 computations (53.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.9%
(/.f64 (*.f64 x (+.f64 (*.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))
▶53.9%
(*.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 92 computations (66.9% saved)

simplify397.0ms (3.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 x (+.f64 (*.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))
✓cost-diff512
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))
✓cost-diff512
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))))))
✓cost-diff768
(/.f64 (*.f64 x (+.f64 (*.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))
✓cost-diff2048
(+.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-diff3200
(+.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-diff5248
(/.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-diff5248
(*.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
5982×+-lowering-+.f64
5982×+-lowering-+.f32
5618×*-lowering-*.f32
5618×*-lowering-*.f64
2492×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0791022
1309796
21520736
34927722
46961722
57152722
67282722
77675722
87961722
97987722
08964722
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 (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))) (+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))
(* x (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
x
(+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))
(* x x)
(+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))
1049934947/10000000000
(* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))
(+ 106015151/2500000000 (* (* x x) 36322091/5000000000))
106015151/2500000000
(* (* x x) 36322091/5000000000)
36322091/5000000000
(+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
1
(* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* x (* x (* x x)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))
(+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))
(* (* x (* x (* (* x (* x (* 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 (* x 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)
1789971/5000000000
(* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))
(+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))
(+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))
7715471019/10000000000
(* x (* x 2909738639/10000000000))
(* x 2909738639/10000000000)
2909738639/10000000000
(* (* x (* x (* 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
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)
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(/ (+ (+ (+ (+ (+ 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)))))
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1
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1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
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x
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106015151/2500000000
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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
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7715471019/10000000000
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2909738639/10000000000
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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 1789971/5000000000 binary64)
2
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x
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(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
(+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))
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 (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))
(+.f64 #s(literal 1 binary64) (+.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) #s(literal 694555761/10000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.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 (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x 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 (* x x))) (* x (* x (* x x)))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))
(* x (* x (* (* x (* x (* x x))) (* x (* x (* x x))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(* x (* (* x (* x (* x x))) (* x (* x (* x x)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(* (* x (* x (* x x))) (* x (* x (* x x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 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))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)
(* (* x x) (+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* x x))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))
(*.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 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))
(+ (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))) (* (* x (* x (* 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 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 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))
(* x 2909738639/10000000000)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* x (* x (* x x))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))
(*.f64 (*.f64 x (*.f64 x x)) (*.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))
(* x 70002721/5000000000)
(*.f64 x #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)

localize456.0ms (3.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy99.3%
(*.f64 x #s(literal 2909738639/10000000000 binary64))
✓accuracy54.9%
(/.f64 (*.f64 x (+.f64 (*.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))
✓accuracy99.7%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy99.6%
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
✓accuracy76.3%
(*.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
299.0ms256×0valid
Compiler

Compiled 1730 to 80 computations (95.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-mult: 76.0ms (43.7% of total)
ival-add: 56.0ms (32.2% of total)
...c/correct-round.rkt:119:19: 38.0ms (21.9% of total)
ival-div: 3.0ms (1.7% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) 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 (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))) (+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))>
#<alt (+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))>
#<alt (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))>
#<alt (* x (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))>
#<alt (* 106015151/2500000000 (* (* x x) (* x x)))>
#<alt (* 1049934947/10000000000 (* x x))>
#<alt (* x 2909738639/10000000000)>
#<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) (- (* 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 (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<alt (* 106015151/2500000000 (pow x 4))>
#<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 (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 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

39 calls:

TimeVariablePointExpression
6.0ms
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
(* (* x x) 1789971/10000000000)
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 (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))) (+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))
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))))

rewrite413.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
4280×*-lowering-*.f32
4280×*-lowering-*.f64
2062×+-lowering-+.f64
2062×+-lowering-+.f32
2026×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079448
1597321
26661321
08783321
Stop Event
1×iter limit
1×node limit
Counts
13 → 293
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 (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))) (+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))))
(+ 1 (+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))))))
(+ (* (* x (* x (* (* 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))) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))))))
(* x (+ (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))) (+ 1 (* x (* x (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
(* 106015151/2500000000 (* (* x x) (* x x)))
(* 1049934947/10000000000 (* x x))
(* x 2909738639/10000000000)
(* (* x x) 1789971/10000000000)
(* (* x x) 1789971/5000000000)
Outputs
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))))))) (+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))) (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))) (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))) (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))))))
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(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 106015151/2500000000 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 106015151/2500000000 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 106015151/2500000000 binary64))
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) x)) x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(*.f64 #s(literal 2909738639/10000000000 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)
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(*.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)

simplify249.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
3892×*-lowering-*.f32
3892×*-lowering-*.f64
3532×+-lowering-+.f64
3532×+-lowering-+.f32
1450×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641500
14841269
214831251
346541245
081241245
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)))))))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 106015151/2500000000 (pow x 4))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 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))
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 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) (- (* 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 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (/.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 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) 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 (/.f64 #s(literal 600041/2386628 binary64) 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 (/.f64 #s(literal 600041/2386628 binary64) 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 (/.f64 #s(literal 600041/2386628 binary64) x) x)) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (/.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 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) (/.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 (/.f64 #s(literal 600041/2386628 binary64) x) x)) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (/.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 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) (/.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 (*.f64 x 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 x (*.f64 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 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow 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 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow 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 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.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 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.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 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.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 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
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 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x) (+.f64 #s(literal 1/2 binary64) (/.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 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) 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 (/.f64 #s(literal 600041/2386628 binary64) 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 (/.f64 #s(literal 600041/2386628 binary64) 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 (* 7715471019/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 x (*.f64 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 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow 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 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow 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 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 7715471019/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64))
(* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))
(* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow 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 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow 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 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
x
(* x (+ 1 (* 1049934947/10000000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))))
(*.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) #s(literal 36322091/5000000000 binary64))))))))
(* 1789971/10000000000 (pow x 11))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 11 binary64)))
(* 1789971/10000000000 (pow x 11))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))) (pow x 2))) 1789971/10000000000)))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (-.f64 #s(literal 1789971/10000000000 binary64) (/.f64 (+.f64 #s(literal -2532017/5000000000 binary64) (/.f64 #s(literal -36322091/5000000000 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 106015151/2500000000 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 1049934947/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 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))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 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))

eval81.0ms (0.7%)

Compiler

Compiled 70699 to 1307 computations (98.2% saved)

prune47.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4427449
Fresh000
Picked202
Done000
Total4447451
Accuracy
100.0%
Counts
451 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.7%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
50.6%
(/.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)
▶51.0%
(/.f64 #s(literal 1/2 binary64) x)
▶26.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
52.1%
(*.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)
▶51.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
▶52.3%
x
Compiler

Compiled 132 to 86 computations (34.8% saved)

simplify444.0ms (3.7%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 600041/2386628 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) 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-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
Rules
6332×*-lowering-*.f32
6332×*-lowering-*.f64
2936×pow-lowering-pow.f64
2936×pow-lowering-pow.f32
2912×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01765
13163
25563
37962
414762
524762
646462
786462
8141262
9174262
10222962
11293062
12389562
13435462
14465462
15485862
16505462
17526862
18657762
19728862
20763062
21774362
22778362
23778362
24780062
25792662
0807962
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
x
(/ 1/2 x)
1/2
x
(* (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(* x x)
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)
(+ 1/2 (/ (/ 600041/2386628 x) x))
1/2
(/ (/ 600041/2386628 x) x)
(/ 600041/2386628 x)
600041/2386628
x
Outputs
x
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* (/ 1/2 (* x x)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
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)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(+ 1/2 (/ (/ 600041/2386628 x) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(/ (/ 600041/2386628 x) x)
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
600041/2386628
#s(literal 600041/2386628 binary64)
x

localize75.0ms (0.6%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
✓accuracy99.1%
(/.f64 #s(literal 600041/2386628 binary64) 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))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy53.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
Results
54.0ms256×0valid
Compiler

Compiled 79 to 18 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35% of total)
ival-div: 9.0ms (28.6% of total)
...c/correct-round.rkt:119:19: 9.0ms (28.6% of total)
ival-add: 3.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ 1/2 x)>
#<alt (* (/ 1/2 (* x x)) x)>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<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)>
#<alt (+ 1/2 (/ (/ 600041/2386628 x) x))>
#<alt (/ (/ 600041/2386628 x) x)>
#<alt (/ 600041/2386628 x)>
Outputs
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -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 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 (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
#<alt (/ 600041/2386628 x)>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (+ 1/2 (/ (/ 600041/2386628 x) x)) x)
0.0ms
x
@inf
(* (+ 1 (* x (* x -833192009/1250000000))) x)
0.0ms
x
@0
(* (+ 1 (* x (* x -833192009/1250000000))) x)
0.0ms
x
@0
(/ 1/2 x)
0.0ms
x
@0
(/ (/ 600041/2386628 x) x)

rewrite296.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3346×*-lowering-*.f32
3346×*-lowering-*.f64
2738×/-lowering-/.f32
2738×/-lowering-/.f64
1218×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01754
19052
266452
3655652
0801252
Stop Event
1×iter limit
1×node limit
Counts
12 → 434
Calls
Call 1
Inputs
(/ 1/2 x)
(* (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
(* x x)
(* (+ 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)
(+ 1/2 (/ (/ 600041/2386628 x) x))
(/ (/ 600041/2386628 x) x)
(/ 600041/2386628 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))
(neg.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 x (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.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 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x))
(neg.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 x (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.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 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
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(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x))))) (-.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
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(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x))) #s(literal -1/4 binary64))))
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (+.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 x x)) #s(literal 600041/4773256 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -360049201681/5695993210384 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)
(/.f64 #s(literal -600041/2386628 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 600041/2386628 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -600041/2386628 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -600041/2386628 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2386628/600041 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal -600041/2386628 binary64)))
(pow.f64 (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 600041/2386628 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal -600041/2386628 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -600041/2386628 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -600041/2386628 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -600041/2386628 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 600041/2386628 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -600041/2386628 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -600041/2386628 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -600041/2386628 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 600041/2386628 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 600041/2386628 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -600041/2386628 binary64) x))
(neg.f64 (/.f64 #s(literal -600041/2386628 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 600041/2386628 binary64)))
(/.f64 #s(literal 600041/2386628 binary64) x)
(/.f64 #s(literal -600041/2386628 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2386628/600041 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -600041/2386628 binary64)))
(pow.f64 (/.f64 x #s(literal 600041/2386628 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 600041/2386628 binary64) x))
(*.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 600041/2386628 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -600041/2386628 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 600041/2386628 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -600041/2386628 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -600041/2386628 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 600041/2386628 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 600041/2386628 binary64)) #s(literal -1/2 binary64)))

simplify163.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
2106×*-lowering-*.f32
2106×*-lowering-*.f64
1546×sum4-define
1434×sum3-define
1188×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035706
168592
2164583
3487583
42048583
55859583
08248583
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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 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))
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
(/ 600041/2386628 x)
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -833192009/1250000000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -833192009/1250000000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
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) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.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) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.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))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)
(/ 600041/2386628 x)
(/.f64 #s(literal 600041/2386628 binary64) x)

eval68.0ms (0.6%)

Compiler

Compiled 9683 to 1098 computations (88.7% saved)

prune50.0ms (0.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New5753578
Fresh022
Picked055
Done000
Total57510585
Accuracy
100.0%
Counts
585 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.7%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
▶50.6%
(/.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)
▶26.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
▶50.7%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓51.0%
(/.f64 #s(literal 1/2 binary64) x)
▶51.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))) x)
✓26.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
▶52.1%
(*.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)
✓51.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓52.3%
x
Compiler

Compiled 166 to 109 computations (34.3% saved)

simplify292.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 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 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))) 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 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff256
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
✓cost-diff0
(*.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)
Rules
4896×*-lowering-*.f32
4896×*-lowering-*.f64
2236×+-lowering-+.f64
2236×+-lowering-+.f32
2128×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030181
180168
2186167
3438165
4760165
51064165
61499165
72161165
82567165
94089165
104634165
115362165
126200165
137044165
147429165
08546165
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))) x)
(+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))))
1
(* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))
(* x x)
x
(+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))
-833192009/1250000000
(* (* x x) 3321371254951887171/12500000000000000000)
3321371254951887171/12500000000000000000
(/ (* 1/2 x) (* x x))
(* 1/2 x)
1/2
x
(* x x)
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
1
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
x
(+ 1/2 (/ 600041/2386628 (* x x)))
1/2
(/ 600041/2386628 (* x x))
600041/2386628
(* x x)
(* (/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000))))) x)
(/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000)))))
1
(/ 1 (+ 1 (* x (* x -833192009/1250000000))))
(+ 1 (* x (* x -833192009/1250000000)))
(* x (* x -833192009/1250000000))
x
(* x -833192009/1250000000)
-833192009/1250000000
(/ (+ 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
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* x x)
(*.f64 x x)
x
(+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))
(+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(* (* x x) 3321371254951887171/12500000000000000000)
(*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))
3321371254951887171/12500000000000000000
#s(literal 3321371254951887171/12500000000000000000 binary64)
(/ (* 1/2 x) (* x x))
(/.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* x x)
(*.f64 x x)
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
1
#s(literal 1 binary64)
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
x
(+ 1/2 (/ 600041/2386628 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
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)
(* (/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ 1 (* x (* x -833192009/1250000000))))
(/.f64 #s(literal 1 binary64) (+.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)))
(* 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 (/ 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

localize154.0ms (1.3%)

Localize:

Found 19 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)
✓accuracy99.4%
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
✓accuracy99.3%
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 x #s(literal -833192009/1250000000 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓accuracy99.2%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy53.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.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)
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
✓accuracy99.6%
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
Results
93.0ms256×0valid
Compiler

Compiled 223 to 31 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 16.0ms (28.9% of total)
...c/correct-round.rkt:119:19: 16.0ms (28.9% of total)
ival-div: 15.0ms (27.1% of total)
ival-add: 7.0ms (12.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))) x)>
#<alt (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))))>
#<alt (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))>
#<alt (* x x)>
#<alt (/ (* 1/2 x) (* x x))>
#<alt (* 1/2 x)>
#<alt (/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))>
#<alt (/ x (+ 1/2 (/ 600041/2386628 (* x x))))>
#<alt (+ 1/2 (/ 600041/2386628 (* x x)))>
#<alt (/ 600041/2386628 (* x x))>
#<alt (* (/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000))))) x)>
#<alt (/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000)))))>
#<alt (/ 1 (+ 1 (* x (* x -833192009/1250000000))))>
#<alt (+ 1 (* x (* x -833192009/1250000000)))>
#<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 x) 3321371254951887171/12500000000000000000)>
#<alt (* x (* x -833192009/1250000000))>
#<alt (* x -833192009/1250000000)>
#<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) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 5))>
#<alt (* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt (* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))>
#<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) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (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 (* 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 (/ 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 (* 2386628/600041 (pow x 3))>
#<alt (* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))>
#<alt (* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (pow x 2)) 2847996605192/360049201681))))>
#<alt (* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* (pow x 2) (+ 3398554220928086288/216044283025868921 (* -4055542331592578360678432/129635427631125413225761 (pow x 2)))) 2847996605192/360049201681))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))>
#<alt (* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))>
#<alt (/ 600041/2386628 (pow x 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 x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt 1>
#<alt (+ 1 (* 833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 694208923861456081/1562500000000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* 578409327937854629793656729/1953125000000000000000000000 (pow x 2)))))))>
#<alt (/ -1250000000/833192009 (pow x 2))>
#<alt (* -1 (/ (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1562500000000000000/694208923861456081 (* 1953125000000000000000000000/578409327937854629793656729 (/ 1 (pow x 2)))) (pow x 2))) 1250000000/833192009) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1953125000000000000000000000/578409327937854629793656729 (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 2)))) (pow x 4))) (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -1250000000/833192009 (pow x 2))>
#<alt (* -1 (/ (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 1562500000000000000/694208923861456081 (* 1953125000000000000000000000/578409327937854629793656729 (/ 1 (pow x 2)))) (pow x 2))) 1250000000/833192009) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1953125000000000000000000000/578409327937854629793656729 (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 2)))) (pow x 4))) (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (/ 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 (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* 3321371254951887171/12500000000000000000 (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 (* -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 (/ 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

66 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
1.0ms
x
@0
(/ (+ 1/2 (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))) x)
0.0ms
x
@inf
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))) x)
0.0ms
x
@0
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))) x)
0.0ms
x
@inf
(/ 1 (+ 1 (* x (* x -833192009/1250000000))))

rewrite354.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3988×/-lowering-/.f32
3988×/-lowering-/.f64
3440×*-lowering-*.f32
3440×*-lowering-*.f64
1362×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030152
1213139
21805139
08287139
Stop Event
1×iter limit
1×node limit
Counts
22 → 734
Calls
Call 1
Inputs
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))) x)
(+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))))
(* (* x x) (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))
(* x x)
(/ (* 1/2 x) (* x x))
(* 1/2 x)
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
(+ 1/2 (/ 600041/2386628 (* x x)))
(/ 600041/2386628 (* x x))
(* (/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000))))) x)
(/ 1 (/ 1 (+ 1 (* x (* x -833192009/1250000000)))))
(/ 1 (+ 1 (* x (* x -833192009/1250000000))))
(+ 1 (* x (* x -833192009/1250000000)))
(/ (+ 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 x) 3321371254951887171/12500000000000000000)
(* x (* x -833192009/1250000000))
(* x -833192009/1250000000)
(/ 1307076337763/8543989815576 (* x x))
Outputs
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(+.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))) x)
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x))
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x x)
(/.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 3321371254951887171/12500000000000000000 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(/.f64 (neg.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 3321371254951887171/12500000000000000000 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) #s(literal 1 binary64))
(+.f64 (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (+.f64 #s(literal 360049201681/5695993210384 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)))) (+.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (/.f64 #s(literal 2233072677571813184455900420990053947/623709222799758023272018403410575422976 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (-.f64 #s(literal 360049201681/5695993210384 binary64) (/.f64 #s(literal 1708448552739936059844169/72999761968666410492211776 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (/.f64 #s(literal 2233072677571813184455900420990053947/623709222799758023272018403410575422976 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 360049201681/5695993210384 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)) #s(literal 600041/2386628 binary64)) (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64))))))
(*.f64 (-.f64 #s(literal 360049201681/5695993210384 binary64) (/.f64 #s(literal 1708448552739936059844169/72999761968666410492211776 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))
(*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
(*.f64 x (*.f64 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 x #s(literal -833192009/1250000000 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -833192009/1250000000 binary64))) x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(*.f64 #s(literal -833192009/1250000000 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1307076337763/8543989815576 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)))))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1307076337763/8543989815576 binary64) x))))
(/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1307076337763/8543989815576 binary64) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1307076337763/8543989815576 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))
(*.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 x (-.f64 #s(literal 0 binary64) 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))
(*.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

simplify384.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4062×*-lowering-*.f32
4062×*-lowering-*.f64
2072×+-lowering-+.f64
2072×+-lowering-+.f32
1560×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681937
14461616
213411592
344401582
081181582
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (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)
(* 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)
(/ 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)
(* 2386628/600041 (pow x 3))
(* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (pow x 2)) 2847996605192/360049201681))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* (pow x 2) (+ 3398554220928086288/216044283025868921 (* -4055542331592578360678432/129635427631125413225761 (pow x 2)))) 2847996605192/360049201681))))
(* 2 x)
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))
(* 2 x)
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(/ 600041/2386628 (pow x 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))
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))
1
(+ 1 (* 833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* 694208923861456081/1562500000000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 833192009/1250000000 (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* 578409327937854629793656729/1953125000000000000000000000 (pow x 2)))))))
(/ -1250000000/833192009 (pow x 2))
(* -1 (/ (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 1562500000000000000/694208923861456081 (* 1953125000000000000000000000/578409327937854629793656729 (/ 1 (pow x 2)))) (pow x 2))) 1250000000/833192009) (pow x 2))
(/ (- (* -1 (/ (+ 1953125000000000000000000000/578409327937854629793656729 (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 2)))) (pow x 4))) (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))))) (pow x 2))
(/ -1250000000/833192009 (pow x 2))
(* -1 (/ (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 1562500000000000000/694208923861456081 (* 1953125000000000000000000000/578409327937854629793656729 (/ 1 (pow x 2)))) (pow x 2))) 1250000000/833192009) (pow x 2))
(/ (- (* -1 (/ (+ 1953125000000000000000000000/578409327937854629793656729 (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 2)))) (pow x 4))) (+ 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))))) (pow x 2))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 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))
(/ 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))))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* 3321371254951887171/12500000000000000000 (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))
(* -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)
(/ 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 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 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 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 3321371254951887171/12500000000000000000 (/ 1 (pow x 4))) (* 833192009/1250000000 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -833192009/1250000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(/ 600041/2386628 (pow x 3))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* 2386628/600041 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2386628/600041 binary64))
(* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2386628/600041 binary64) (*.f64 (*.f64 x x) #s(literal -2847996605192/360049201681 binary64)))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (pow x 2)) 2847996605192/360049201681))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 2386628/600041 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2847996605192/360049201681 binary64) (*.f64 x (*.f64 x #s(literal 3398554220928086288/216044283025868921 binary64))))))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* (pow x 2) (+ 3398554220928086288/216044283025868921 (* -4055542331592578360678432/129635427631125413225761 (pow x 2)))) 2847996605192/360049201681))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2386628/600041 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2847996605192/360049201681 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3398554220928086288/216044283025868921 binary64) (*.f64 (*.f64 x x) #s(literal -4055542331592578360678432/129635427631125413225761 binary64)))))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))) (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))
(*.f64 x (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))) (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -216044283025868921/849638555232021572 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(*.f64 x (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))) (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(*.f64 x (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))) (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -216044283025868921/849638555232021572 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
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(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* 3321371254951887171/12500000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 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)))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))
(/ 1307076337763/8543989815576 (pow x 2))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))

eval139.0ms (1.2%)

Compiler

Compiled 22367 to 2539 computations (88.6% saved)

prune103.0ms (0.9%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New109621098
Fresh000
Picked325
Done055
Total109991108
Accuracy
100.0%
Counts
1108 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.7%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
✓26.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
▶51.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
✓51.0%
(/.f64 #s(literal 1/2 binary64) x)
▶56.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
✓26.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓52.1%
(*.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)
✓51.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓52.3%
x
Compiler

Compiled 82 to 55 computations (32.9% saved)

simplify109.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
✓cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))
✓cost-diff128
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
Rules
2268×sum3-define
1962×fnmadd-define
1764×fma-define
1336×*-lowering-*.f32
1336×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01464
13360
26560
316260
434356
566956
6116456
7248556
8480156
9759556
0802356
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)))
1
(+ 1 (* (* x x) 833192009/1250000000))
(* (* x x) 833192009/1250000000)
(* x x)
x
833192009/1250000000
(/ 1 (* x (- 2 (/ 600041/596657 (* x x)))))
1
(* x (- 2 (/ 600041/596657 (* x x))))
x
(- 2 (/ 600041/596657 (* x x)))
2
(/ 600041/596657 (* x x))
600041/596657
(* x x)
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 (+ 1 (* (* x x) 833192009/1250000000)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 833192009/1250000000 binary64))))
(* (* 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)
(/ 1 (* x (- 2 (/ 600041/596657 (* x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -600041/596657 binary64) x) (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(* x (- 2 (/ 600041/596657 (* x x))))
(+.f64 (/.f64 #s(literal -600041/596657 binary64) x) (*.f64 x #s(literal 2 binary64)))
x
(- 2 (/ 600041/596657 (* x x)))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -600041/596657 binary64) x) x))
2
#s(literal 2 binary64)
(/ 600041/596657 (* x x))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
600041/596657
#s(literal 600041/596657 binary64)
(* x x)
(*.f64 x x)

localize94.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
✓accuracy99.2%
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
✓accuracy77.3%
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
✓accuracy76.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
Results
74.0ms256×0valid
Compiler

Compiled 79 to 15 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
...c/correct-round.rkt:119:19: 41.0ms (71.6% of total)
ival-mult: 8.0ms (14% of total)
ival-div: 5.0ms (8.7% of total)
ival-sub: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ 1 (* (* x x) 833192009/1250000000))) x)>
#<alt (/ 1 (+ 1 (* (* x x) 833192009/1250000000)))>
#<alt (+ 1 (* (* x x) 833192009/1250000000))>
#<alt (* (* x x) 833192009/1250000000)>
#<alt (/ 1 (* x (- 2 (/ 600041/596657 (* x x)))))>
#<alt (* x (- 2 (/ 600041/596657 (* x x))))>
#<alt (- 2 (/ 600041/596657 (* x x)))>
#<alt (/ 600041/596657 (* x x))>
#<alt (* x x)>
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 (* (pow x 2) (- (* 694208923861456081/1562500000000000000 (pow x 2)) 833192009/1250000000)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* -578409327937854629793656729/1953125000000000000000000000 (pow x 2)))) 833192009/1250000000)))>
#<alt (/ 1250000000/833192009 (pow x 2))>
#<alt (/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 1250000000/833192009 (pow x 2))>
#<alt (/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) (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 x)>
#<alt (/ (- (* 2 (pow x 2)) 600041/596657) x)>
#<alt (/ (- (* 2 (pow x 2)) 600041/596657) x)>
#<alt (/ (- (* 2 (pow x 2)) 600041/596657) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))>
#<alt (/ -600041/596657 (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))>
#<alt 2>
#<alt (- 2 (* 600041/596657 (/ 1 (pow x 2))))>
#<alt (- 2 (* 600041/596657 (/ 1 (pow x 2))))>
#<alt (- 2 (* 600041/596657 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 600041/596657 (/ 1 (pow x 2))))>
#<alt (- 2 (* 600041/596657 (/ 1 (pow x 2))))>
#<alt (- 2 (* 600041/596657 (/ 1 (pow x 2))))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (pow x 2))>
#<alt (/ 600041/596657 (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)>
Calls

27 calls:

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

rewrite259.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3682×*-lowering-*.f32
3682×*-lowering-*.f64
2788×/-lowering-/.f32
2788×/-lowering-/.f64
984×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
18351
262551
3684651
0806151
Stop Event
1×iter limit
1×node limit
Counts
9 → 429
Calls
Call 1
Inputs
(* (/ 1 (+ 1 (* (* x x) 833192009/1250000000))) x)
(/ 1 (+ 1 (* (* x x) 833192009/1250000000)))
(+ 1 (* (* x x) 833192009/1250000000))
(* (* x x) 833192009/1250000000)
(/ 1 (* x (- 2 (/ 600041/596657 (* x x)))))
(* x (- 2 (/ 600041/596657 (* x x))))
(- 2 (/ 600041/596657 (* x x)))
(/ 600041/596657 (* x x))
(* x x)
Outputs
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64)))))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)))))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x))
(neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))))
(neg.f64 (/.f64 x (+.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 #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 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) #s(literal 1 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 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) #s(literal 1 binary64))
(*.f64 #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 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))))
(*.f64 (+.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) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (/.f64 x (/.f64 #s(literal 1 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) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))) #s(literal -1 binary64))
(*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))))
(*.f64 (/.f64 x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.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)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64)))))))
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64)) #s(literal 833192009/1250000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 578409327937854629793656729/1953125000000000000000000000 binary64))))))
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(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -216044283025868921/212409638808005393 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 64 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) (*.f64 (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))))) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -216044283025868921/212409638808005393 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))) (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal -2 binary64)) (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 216044283025868921/212409638808005393 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x x)) #s(literal 1200082/596657 binary64)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 600041/596657 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 600041/596657 binary64)))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64)))
(/.f64 #s(literal -600041/596657 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 596657/600041 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 600041/596657 binary64)))
(/.f64 (/.f64 #s(literal 600041/596657 binary64) x) x)
(/.f64 (/.f64 #s(literal 600041/596657 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -600041/596657 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 600041/596657 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -600041/596657 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -600041/596657 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 600041/596657 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))
(*.f64 #s(literal 600041/596657 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(*.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal -600041/596657 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 600041/596657 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 600041/596657 binary64) x))
(*.f64 (/.f64 #s(literal 600041/596657 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -600041/596657 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -600041/596657 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 600041/596657 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 600041/596657 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x)

simplify205.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2480×*-lowering-*.f32
2480×*-lowering-*.f64
1780×+-lowering-+.f64
1780×+-lowering-+.f32
1626×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0133840
1367691
2950663
32978652
47950652
08462652
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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 (* (pow x 2) (- (* 694208923861456081/1562500000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* -578409327937854629793656729/1953125000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(/ 1250000000/833192009 (pow x 2))
(/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) (pow x 2))
(/ 1250000000/833192009 (pow x 2))
(/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) (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 x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(* 2 x)
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(/ -600041/596657 (pow x 2))
(/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))
(/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))
(/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))
2
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
2
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (pow x 2))
(/ 600041/596657 (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)
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 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 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 #s(literal 1250000000/833192009 binary64) (+.f64 (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x)) (+.f64 (/.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 #s(literal 1250000000/833192009 binary64) (+.f64 (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x)) (+.f64 (/.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 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
(+ 1 (* (pow x 2) (- (* 694208923861456081/1562500000000000000 (pow x 2)) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 694208923861456081/1562500000000000000 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 694208923861456081/1562500000000000000 (* -578409327937854629793656729/1953125000000000000000000000 (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 694208923861456081/1562500000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -578409327937854629793656729/1953125000000000000000000000 binary64))))))))
(/ 1250000000/833192009 (pow x 2))
(/.f64 #s(literal 1250000000/833192009 binary64) (*.f64 x x))
(/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal 1562500000000000000/694208923861456081 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/.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 x x))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (+.f64 (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x)) (+.f64 (/.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)))))) (*.f64 x x))
(/ 1250000000/833192009 (pow x 2))
(/.f64 #s(literal 1250000000/833192009 binary64) (*.f64 x x))
(/ (- 1250000000/833192009 (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1250000000/833192009 binary64) (/.f64 #s(literal 1562500000000000000/694208923861456081 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2)))) (pow x 2))
(/.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 x x))
(/ (- (+ 1250000000/833192009 (/ 1953125000000000000000000000/578409327937854629793656729 (pow x 4))) (+ (* 1562500000000000000/694208923861456081 (/ 1 (pow x 2))) (* 2441406250000000000000000000000000000/481926029968880926147728105491878561 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1250000000/833192009 binary64) (+.f64 (/.f64 #s(literal -1562500000000000000/694208923861456081 binary64) (*.f64 x x)) (+.f64 (/.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)))))) (*.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 (* 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))
(* -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 x (*.f64 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 (*.f64 x 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 (*.f64 x 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 x (*.f64 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 360049201681/2847996605192 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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))) 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 #s(literal 1/2 binary64) (-.f64 (/.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 x (*.f64 x (*.f64 x x)))))) x)
(/ -600041/596657 x)
(/.f64 #s(literal -600041/596657 binary64) x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))
(/ -600041/596657 (pow x 2))
(/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))
(/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(/ (- (* 2 (pow x 2)) 600041/596657) (pow x 2))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(- 2 (* 600041/596657 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(/ 600041/596657 (pow x 2))
(/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval65.0ms (0.5%)

Compiler

Compiled 13892 to 1617 computations (88.4% saved)

prune64.0ms (0.5%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New5633566
Fresh000
Picked112
Done167
Total56510575
Accuracy
100.0%
Counts
575 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓26.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
56.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
56.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))) x))
51.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x)))
✓51.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
✓51.0%
(/.f64 #s(literal 1/2 binary64) x)
✓26.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓52.1%
(*.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)
✓51.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓52.3%
x
Compiler

Compiled 510 to 195 computations (61.8% saved)

regimes38.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(/.f64 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))) 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 (+.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 (*.f64 x (+.f64 (*.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)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))))))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
Calls

2 calls:

30.0ms
(*.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)
5.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
100.0%2(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 176 to 45 computations (74.4% saved)

regimes8.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 600041/2386628 binary64) x) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(/.f64 #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 #s(literal 1 binary64) (+.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 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x 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:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.4%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
52.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch69.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
62.0ms
0.0005740468287233434
5126.105924518911
Results
57.0ms144×0valid
Compiler

Compiled 448 to 236 computations (47.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 22.0ms (43.3% of total)
...c/correct-round.rkt:119:19: 19.0ms (37.4% of total)
ival-add: 8.0ms (15.7% of total)
ival-div: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
60.0ms
0.0005740468287233434
5126.105924518911
Results
55.0ms144×0valid
Compiler

Compiled 394 to 209 computations (47% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
...c/correct-round.rkt:119:19: 21.0ms (43.2% of total)
ival-mult: 18.0ms (37% of total)
ival-add: 9.0ms (18.5% of total)
ival-div: 1.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
61.0ms
0.0005740468287233434
5126.105924518911
Results
55.0ms144×0valid
Compiler

Compiled 376 to 200 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
...c/correct-round.rkt:119:19: 21.0ms (42.8% of total)
ival-mult: 20.0ms (40.8% of total)
ival-add: 7.0ms (14.3% of total)
ival-div: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
60.0ms
0.0005740468287233434
5126.105924518911
Results
55.0ms144×0valid
Compiler

Compiled 322 to 155 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
...c/correct-round.rkt:119:19: 20.0ms (42.7% of total)
ival-mult: 18.0ms (38.4% of total)
ival-add: 7.0ms (14.9% of total)
ival-div: 1.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
61.0ms
0.0005740468287233434
5126.105924518911
Results
56.0ms144×0valid
Compiler

Compiled 250 to 101 computations (59.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 23.0ms (46.3% of total)
...c/correct-round.rkt:119:19: 19.0ms (38.2% of total)
ival-add: 7.0ms (14.1% of total)
ival-div: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
18×+-commutative_binary64
10×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039101
156101
264101
373101
480101
584101
685101
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 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 3242591731706757/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x
Outputs
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 600041/596657 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x))))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 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 3242591731706757/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

soundness1.1s (9%)

Rules
4062×*-lowering-*.f32
4062×*-lowering-*.f64
3892×*-lowering-*.f32
3892×*-lowering-*.f64
3532×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01641500
14841269
214831251
346541245
081241245
0133840
1367691
2950663
32978652
47950652
08462652
01754
19052
266452
3655652
0801252
01681937
14461616
213411592
344401582
081181582
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
Compiler

Compiled 263 to 154 computations (41.4% saved)

preprocess90.0ms (0.8%)

Compiler

Compiled 614 to 204 computations (66.8% saved)

end0.0ms (0%)

Profiling

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