Jmat.Real.dawson

Time bar (total: 14.2s)

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)

sample4.1s (29.1%)

Results
3.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
...c/correct-round.rkt:119:19: 1.2s (42.1% of total)
ival-mult: 1.2s (39.6% of total)
ival-add: 466.0ms (15.7% of total)
ival-div: 57.0ms (1.9% of total)
const: 16.0ms (0.5% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess340.0ms (2.4%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
077499
1348313
21287211
36819208
045166
1141104
268870
3420264
4635160
5648860
6660460
7687260
8719060
9719260
0811760
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
Outputs
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
Call 2
Inputs
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x))
(neg (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x)))
Outputs
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
(/ (* x (+ (fma 106015151/2500000000 (pow x 4) (fma 36322091/5000000000 (pow x 6) (fma 1049934947/10000000000 (* x x) 1))) (* (* x (pow x 7)) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x)))))) (sum5 1 (* 7715471019/10000000000 (* x x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ (* 70002721/5000000000 (* x x)) 694555761/10000000000)) (* (pow (* x x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (* x x))))))
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x))
(* (+ (fma 106015151/2500000000 (pow x 4) (fma 36322091/5000000000 (pow x 6) (fma 1049934947/10000000000 (* x x) 1))) (* (* x (pow x 7)) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x))))) (/ (neg x) (sum5 1 (* 7715471019/10000000000 (* x x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ (* 70002721/5000000000 (* x x)) 694555761/10000000000)) (* (pow (* x x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (* x x)))))))
(neg (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x)))
(/ (* x (+ (fma 106015151/2500000000 (pow x 4) (fma 36322091/5000000000 (pow x 6) (fma 1049934947/10000000000 (* x x) 1))) (* (* x (pow x 7)) (+ 2532017/5000000000 (* 1789971/10000000000 (* x x)))))) (sum5 1 (* 7715471019/10000000000 (* x x)) (* 2909738639/10000000000 (pow x 4)) (* (pow x 6) (+ (* 70002721/5000000000 (* x x)) 694555761/10000000000)) (* (pow (* x x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (* x x))))))
Symmetry

(negabs x)

explain603.0ms (4.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-0-(/.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)))))
780-1(1.1562446202826806e+161)(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
10-0-(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
10-0-(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
10-0-(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-x
00-0-(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
00-0-(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 1665589/2000000000 binary64)
00-0-(*.f64 x x)
00-0-#s(literal 36322091/5000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 106015151/2500000000 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-#s(literal 2909738639/10000000000 binary64)
00-0-(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 (*.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 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 2532017/5000000000 binary64)
00-0-(*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 70002721/5000000000 binary64)
00-0-#s(literal 1049934947/10000000000 binary64)
00-0-#s(literal 1 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 (*.f64 x x) (*.f64 x x))
Results
306.0ms512×0valid
Compiler

Compiled 2266 to 134 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
...c/correct-round.rkt:119:19: 90.0ms (42% of total)
ival-mult: 86.0ms (40.2% of total)
ival-add: 33.0ms (15.4% of total)
ival-div: 3.0ms (1.4% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 104 to 47 computations (54.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.4%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
▶46.5%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 278 to 91 computations (67.3% saved)

simplify281.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff768
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
✓cost-diff1024
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))
✓cost-diff1024
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))
✓cost-diff1792
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
✓cost-diff2560
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
✓cost-diff3712
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
✓cost-diff6272
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
✓cost-diff6272
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Rules
5136×+-lowering-+.f64
5136×+-lowering-+.f32
4592×*-lowering-*.f32
4592×*-lowering-*.f64
1300×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

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

localize409.0ms (2.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy47.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
✓accuracy99.6%
(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
✓accuracy99.4%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy71.6%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
✓accuracy47.4%
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))))
Results
228.0ms256×0valid
Compiler

Compiled 1759 to 78 computations (95.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 66.0ms (45.3% of total)
...c/correct-round.rkt:119:19: 42.0ms (28.8% of total)
ival-add: 33.0ms (22.6% of total)
ival-div: 3.0ms (2.1% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)>
#<alt (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))>
#<alt (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))>
#<alt (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x))))>
#<alt (/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))>
#<alt (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))>
#<alt (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))>
#<alt (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))>
#<alt (* 1049934947/10000000000 (* x x))>
#<alt (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))>
#<alt (* (* x x) 70002721/5000000000)>
#<alt (* (* x x) 2909738639/10000000000)>
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 (* 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 (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 1665589/2000000000 (pow x 10))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
1.0ms
x
@0
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
1.0ms
x
@inf
(/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
1.0ms
x
@0
(* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))
1.0ms
x
@-inf
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 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)

rewrite399.0ms (2.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
077618
1588374
26736374
08318374
Stop Event
1×iter limit
1×node limit
Counts
12 → 296
Calls
Call 1
Inputs
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
(/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))
(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))
(+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x))))
(/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
(+ 1 (+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))
(+ (* (* x x) (+ 7715471019/10000000000 (* (* x x) 2909738639/10000000000))) (* (* x x) (+ (* (* x x) (* x (* x (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))) (* (* (* x x) (* (* x x) (* x (* x (* x x))))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))
(* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(* 1049934947/10000000000 (* x x))
(* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))
(* (* x x) 70002721/5000000000)
(* (* x x) 2909738639/10000000000)
Outputs
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))) #s(literal 1 binary64)))
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(*.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) x) x)
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(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) x)

simplify249.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
3856×*-lowering-*.f32
3856×*-lowering-*.f64
3546×+-lowering-+.f64
3546×+-lowering-+.f32
1448×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611464
14781383
214711356
346231350
081661350
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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)))))))
(* 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))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 1665589/2000000000 (pow x 10))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
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) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.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 #s(literal 600041/2386628 binary64) (*.f64 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 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.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 #s(literal 600041/2386628 binary64) (*.f64 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 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 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 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 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 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
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 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 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 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.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 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 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.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 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 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
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1
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(* 1049934947/10000000000 (pow x 2))
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(* 1049934947/10000000000 (pow x 2))
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(* 1049934947/10000000000 (pow x 2))
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(* 1049934947/10000000000 (pow x 2))
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(* 1665589/2000000000 (pow x 10))
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eval77.0ms (0.5%)

Compiler

Compiled 69229 to 1334 computations (98.1% saved)

prune53.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New44911460
Fresh000
Picked202
Done000
Total45111462
Accuracy
100.0%
Counts
462 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
57.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
▶57.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
43.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
46.5%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))
▶58.1%
(/.f64 #s(literal 1/2 binary64) x)
29.1%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
▶43.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
▶44.2%
(*.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)
43.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
▶44.7%
x
Compiler

Compiled 712 to 392 computations (44.9% saved)

simplify113.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
✓cost-diff0
(*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
Rules
2306×fma-define
1752×fma-lowering-fma.f32
1752×fma-lowering-fma.f64
614×*-lowering-*.f32
614×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026204
170185
2224183
3555181
41170181
52167181
62265181
72269181
82269181
92544181
02544181
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1/2 x)
1/2
x
x
(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
(+ 1/2 (/ 600041/2386628 (* x x)))
1/2
(/ 600041/2386628 (* x x))
600041/2386628
(* x x)
x
(* (+ 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 (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))
(+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))
-833192009/1250000000
(* (* x x) 3321371254951887171/12500000000000000000)
(* x x)
3321371254951887171/12500000000000000000
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))) x)
(+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))
1
(* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))
(* x x)
x
(+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))
-833192009/1250000000
(* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
(+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))
3321371254951887171/12500000000000000000
(* x (* x -9156128575487588197208397249/125000000000000000000000000000))
(* x -9156128575487588197208397249/125000000000000000000000000000)
-9156128575487588197208397249/125000000000000000000000000000
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
x
(/ (+ 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
#s(literal 600041/2386628 binary64)
(* x x)
(*.f64 x x)
x
(* (+ 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
x
(* x (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))
(*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
(+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))
(+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(* (* x x) 3321371254951887171/12500000000000000000)
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* x x)
(*.f64 x x)
3321371254951887171/12500000000000000000
#s(literal 3321371254951887171/12500000000000000000 binary64)
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
(+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))
(* x x)
(*.f64 x x)
x
(+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))
(+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)
(* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))
(+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))
(+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
3321371254951887171/12500000000000000000
#s(literal 3321371254951887171/12500000000000000000 binary64)
(* x (* x -9156128575487588197208397249/125000000000000000000000000000))
(*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(* x -9156128575487588197208397249/125000000000000000000000000000)
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
-9156128575487588197208397249/125000000000000000000000000000
#s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)

localize125.0ms (0.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))
✓accuracy99.3%
(*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
✓accuracy100.0%
(*.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)
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))
✓accuracy99.3%
(*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓accuracy99.3%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
Results
84.0ms256×0valid
Compiler

Compiled 206 to 27 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
...c/correct-round.rkt:119:19: 19.0ms (36.5% of total)
ival-mult: 17.0ms (32.7% of total)
ival-div: 8.0ms (15.4% of total)
ival-add: 7.0ms (13.5% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 600041/2386628 (* x x))) x)>
#<alt (+ 1/2 (/ 600041/2386628 (* x x)))>
#<alt (/ 600041/2386628 (* x x))>
#<alt (* x x)>
#<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 (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))>
#<alt (* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))) x)>
#<alt (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))>
#<alt (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))>
#<alt (* (* x x) 3321371254951887171/12500000000000000000)>
#<alt (* x -9156128575487588197208397249/125000000000000000000000000000)>
#<alt (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))>
#<alt (* x (* x -9156128575487588197208397249/125000000000000000000000000000))>
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 (/ 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 (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 (* (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 (* -833192009/1250000000 x)>
#<alt (* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))>
#<alt (* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))>
#<alt (* 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 (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 x)>
#<alt (* 3321371254951887171/12500000000000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 4))>
#<alt (* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
#<alt (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
1.0ms
x
@inf
(/ 1/2 x)
1.0ms
x
@inf
(* (+ 1 (* x (* x (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000))))) x)
0.0ms
x
@0
(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
0.0ms
x
@inf
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))) x)

rewrite342.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3254×/-lowering-/.f32
3254×/-lowering-/.f64
3052×*-lowering-*.f32
3052×*-lowering-*.f64
2310×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026156
1168139
21529139
08234139
Stop Event
1×iter limit
1×node limit
Counts
16 → 410
Calls
Call 1
Inputs
(/ 1/2 x)
(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
(+ 1/2 (/ 600041/2386628 (* x x)))
(/ 600041/2386628 (* x x))
(* x x)
(* (+ 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 (+ -833192009/1250000000 (* (* x x) 3321371254951887171/12500000000000000000)))
(* (+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))) x)
(+ 1 (* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000)))))))
(* (* x x) (+ -833192009/1250000000 (* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))))
(* (* x x) 3321371254951887171/12500000000000000000)
(* x -9156128575487588197208397249/125000000000000000000000000000)
(* (* x x) (+ 3321371254951887171/12500000000000000000 (* x (* x -9156128575487588197208397249/125000000000000000000000000000))))
(* x (* x -9156128575487588197208397249/125000000000000000000000000000))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x) (/.f64 (/.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.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 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)))) x) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.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 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)))) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 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 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)))) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 360049201681/5695993210384 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 216044283025868921/13594216883712345152 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal 600041/2386628 binary64) x)))))))
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(*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))
(*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)) x)

simplify207.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
2568×*-lowering-*.f32
2568×*-lowering-*.f64
1864×fma-lowering-fma.f32
1864×fma-lowering-fma.f64
1718×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0991507
12541468
27231446
324151434
466541434
086311434
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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)
(/ 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))
(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 (* (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)))
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(+ 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)))))
(* -833192009/1250000000 x)
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 7) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(* -1 (* (pow x 7) (- 9156128575487588197208397249/125000000000000000000000000000 (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4))) (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000)))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (+ (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 6))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* (pow x 6) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) (+ 9156128575487588197208397249/125000000000000000000000000000 (/ 833192009/1250000000 (pow x 4)))))
(* 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))
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* -9156128575487588197208397249/125000000000000000000000000000 x)
(* 3321371254951887171/12500000000000000000 (pow x 2))
(* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 4))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* (pow x 4) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2))
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)
(/ 600041/2386628 (pow x 3))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x 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))
(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 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 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* 3321371254951887171/12500000000000000000 (pow x 5))
(*.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 (pow.f64 x #s(literal 5 binary64)) (+.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 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 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 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* 3321371254951887171/12500000000000000000 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.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 (*.f64 x (*.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))))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* x (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* (pow x 3) (- 3321371254951887171/12500000000000000000 (* 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* 3321371254951887171/12500000000000000000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 3321371254951887171/12500000000000000000 binary64))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 833192009/1250000000 (/ 1 (pow x 2))) 3321371254951887171/12500000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (/.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x x))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 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 x (*.f64 x #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(* -9156128575487588197208397249/125000000000000000000000000000 (pow x 7))
(*.f64 #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3321371254951887171/12500000000000000000 (/ 1 (pow x 2))) 9156128575487588197208397249/125000000000000000000000000000))
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eval82.0ms (0.6%)

Compiler

Compiled 18908 to 1710 computations (91% saved)

prune83.0ms (0.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New6551656
Fresh156
Picked055
Done000
Total65611667
Accuracy
100.0%
Counts
667 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
▶57.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
✓57.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
▶43.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
▶46.5%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))
▶57.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓58.1%
(/.f64 #s(literal 1/2 binary64) x)
✓43.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
✓44.2%
(*.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)
▶43.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓44.7%
x
Compiler

Compiled 654 to 358 computations (45.3% saved)

simplify242.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff768
(*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
✓cost-diff768
(*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))
✓cost-diff768
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))
✓cost-diff1024
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))
✓cost-diff768
(+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
✓cost-diff768
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
✓cost-diff768
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
✓cost-diff768
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓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 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 #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)))))
Rules
3906×sum4-define
3154×*-lowering-*.f32
3154×*-lowering-*.f64
2390×+-lowering-+.f64
2390×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0861158
1311972
21199956
34760956
46628956
56681956
66950956
76959956
86960956
08763956
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 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 (* 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 (/ 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
(/ (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
(* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
x
(+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
1
(+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(* 1049934947/10000000000 (* x x))
1049934947/10000000000
(* x x)
(* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))
(+ 106015151/2500000000 (* (* x x) 36322091/5000000000))
106015151/2500000000
(* (* x x) 36322091/5000000000)
36322091/5000000000
(* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))
(+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))
2909738639/10000000000
(* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))))
(* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))))
x
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))
1
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))))
(* x x)
(+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))
1049934947/10000000000
(* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))))
(+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))
(+ 106015151/2500000000 (* x (* x 36322091/5000000000)))
106015151/2500000000
(* x (* x 36322091/5000000000))
(* x 36322091/5000000000)
36322091/5000000000
(* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000)))))
(* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))
(* x (* x x))
(+ 2532017/5000000000 (* x (* x 1789971/10000000000)))
2532017/5000000000
(* x (* x 1789971/10000000000))
(* x 1789971/10000000000)
1789971/10000000000
(+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))))
(* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))
(* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
(+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))
7715471019/10000000000
(+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))
(* (* x x) 2909738639/10000000000)
2909738639/10000000000
(* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))
(+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))
(* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))
(+ 694555761/10000000000 (* x (* x 70002721/5000000000)))
694555761/10000000000
(* x (* x 70002721/5000000000))
(* x 70002721/5000000000)
70002721/5000000000
(* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(+ 1665589/2000000000 (* x (* x 1789971/5000000000)))
1665589/2000000000
(* x (* x 1789971/5000000000))
(* x 1789971/5000000000)
1789971/5000000000
Outputs
(/ 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 (* x (* x -833192009/1250000000))) x)
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(+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
(* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))))
(+ 694555761/10000000000 (* x (* x 70002721/5000000000)))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* x (* x 70002721/5000000000))
(*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))
(* x 70002721/5000000000)
(*.f64 x #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))
(* (* x x) (* x (* x (* x x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(+ 1665589/2000000000 (* x (* x 1789971/5000000000)))
(+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))
1665589/2000000000
#s(literal 1665589/2000000000 binary64)
(* x (* x 1789971/5000000000))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* x 1789971/5000000000)
(*.f64 x #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)

localize430.0ms (3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal 70002721/5000000000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))
✓accuracy47.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy55.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓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))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
✓accuracy100.0%
(*.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)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓accuracy99.9%
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
✓accuracy99.3%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
Results
270.0ms256×0valid
Compiler

Compiled 1332 to 87 computations (93.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 66.0ms (35.9% of total)
ival-add: 53.0ms (28.9% of total)
...c/correct-round.rkt:119:19: 51.0ms (27.8% of total)
ival-div: 14.0ms (7.6% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
28 → 336
Calls
Call 1
Inputs
#<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 (* 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 (/ 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 (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))>
#<alt (* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))>
#<alt (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))>
#<alt (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))>
#<alt (/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))))>
#<alt (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))))>
#<alt (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))>
#<alt (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))>
#<alt (* x x)>
#<alt (/ 1307076337763/8543989815576 (* x x))>
#<alt (* (* x x) 70002721/5000000000)>
#<alt (* 1049934947/10000000000 (* x x))>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* (* x x) 2909738639/10000000000)>
#<alt (* x 70002721/5000000000)>
#<alt (* x (* x 1789971/10000000000))>
Outputs
#<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 (* -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 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 x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (* 1789971/140005442 (pow x 3))>
#<alt (* (pow x 3) (- 1789971/140005442 (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1789971/140005442 (+ (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4)) (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 6))))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))))>
#<alt (* 1789971/140005442 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 534242351599903/19601523789615364 (/ 1 (pow x 2))) 1789971/140005442)))>
#<alt (* -1 (* (pow x 3) (- (* 534242351599903/19601523789615364 (/ 1 (pow x 2))) (+ 1789971/140005442 (/ 1065800731500896426613133/2744320002038614046810888 (pow x 4))))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 1065800731500896426613133/2744320002038614046810888 (* 370432960930338590358303587425217/384219734874857060691167064852496 (/ 1 (pow x 2)))) (pow x 4))) (* 534242351599903/19601523789615364 (/ 1 (pow x 2)))) 1789971/140005442)))>
#<alt 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 1>
#<alt (+ 1 (* 1049934947/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 7715471019/10000000000 x)>
#<alt (* x (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2))))>
#<alt (* x (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))))>
#<alt (* x (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))))>
#<alt (* 1789971/5000000000 (pow x 11))>
#<alt (* (pow x 11) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 11) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 11) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 11))>
#<alt (* (pow x 11) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 1665589/2000000000 (* 70002721/5000000000 (/ 1 (pow x 2)))) (pow x 2))) 1789971/5000000000)))>
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 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 (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (/ 1307076337763/8543989815576 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 70002721/5000000000 (pow x 2))>
#<alt (* 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 (* 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 (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 2909738639/10000000000 (pow x 2))>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 70002721/5000000000 x)>
#<alt (* 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))>
Calls

84 calls:

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

rewrite352.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3848×*-lowering-*.f32
3848×*-lowering-*.f64
2160×fma-lowering-fma.f32
2160×fma-lowering-fma.f64
1962×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086482
1674404
26309404
08448404
Stop Event
1×iter limit
1×node limit
Counts
28 → 391
Calls
Call 1
Inputs
(/ 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 (* x (* x -833192009/1250000000))) x)
(+ 1 (* x (* x -833192009/1250000000)))
(* x (* x -833192009/1250000000))
(* 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 (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
(* x (+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(+ 1 (+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(+ (* 1049934947/10000000000 (* x x)) (* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* (* x x) (* x (* x (* x x)))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ (+ 106015151/2500000000 (* x (* x 36322091/5000000000))) (* x (* (* x (* x x)) (+ 2532017/5000000000 (* x (* x 1789971/10000000000))))))))))) (+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))))
(+ 1 (* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))))
(* x (* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000))))))))))
(* x (+ 7715471019/10000000000 (+ (* (* x x) 2909738639/10000000000) (* (* x x) (+ (* (* x x) (+ 694555761/10000000000 (* x (* x 70002721/5000000000)))) (* (* (* x x) (* x (* x (* x x)))) (+ 1665589/2000000000 (* x (* x 1789971/5000000000)))))))))
(* x x)
(/ 1307076337763/8543989815576 (* x x))
(* (* x x) 70002721/5000000000)
(* 1049934947/10000000000 (* x x))
(* (* x x) 1789971/10000000000)
(* (* x x) 2909738639/10000000000)
(* x 70002721/5000000000)
(* x (* x 1789971/10000000000))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))))
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(*.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x)))
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(/.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 1307076337763/8543989815576 binary64) (*.f64 x x))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
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(/.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) x)
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(pow.f64 (/.f64 (*.f64 x x) #s(literal 1307076337763/8543989815576 binary64)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) x)
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(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1049934947/10000000000 binary64)) x)
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(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/10000000000 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))
(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2909738639/10000000000 binary64)) x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(*.f64 #s(literal 70002721/5000000000 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)

simplify289.0ms (2%)

Algorithm
1×egg-herbie
Rules
3992×+-lowering-+.f64
3992×+-lowering-+.f32
3772×*-lowering-*.f32
3772×*-lowering-*.f64
1458×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02922810
18852663
228632648
367182648
080842648
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ 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)
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1
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(* 70002721/5000000000 x)
(* 70002721/5000000000 x)
(* 70002721/5000000000 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))
Outputs
(/ 600041/2386628 (pow x 3))
(/.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x 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)
(* 2386628/600041 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2386628/600041 binary64)))
(* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2386628/600041 binary64) (*.f64 x (*.f64 x #s(literal -2847996605192/360049201681 binary64)))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (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 #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 (*.f64 x 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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.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 (*.f64 x 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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.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 #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))
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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 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))
(/ 1307076337763/8543989815576 (pow x 5))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 5))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 5))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal -1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* (pow x 2) (+ 600041/2386628 (* 1/2 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (*.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 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.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 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
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(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 70002721/5000000000 x)
(*.f64 x #s(literal 70002721/5000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(* 1789971/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))

eval149.0ms (1%)

Compiler

Compiled 59780 to 2316 computations (96.1% saved)

prune78.0ms (0.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New105851063
Fresh011
Picked325
Done055
Total1061131074
Accuracy
100.0%
Counts
1074 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
46.4%
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
✓57.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
✓57.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
▶46.5%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
▶43.3%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
▶44.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
▶58.7%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
✓58.1%
(/.f64 #s(literal 1/2 binary64) x)
✓43.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
✓44.2%
(*.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)
✓43.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓44.7%
x
Compiler

Compiled 804 to 409 computations (49.1% saved)

simplify305.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
✓cost-diff256
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))
✓cost-diff384
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
✓cost-diff0
(*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))
✓cost-diff0
(+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64)))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64)))))))))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓cost-diff0
(*.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)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓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)))))
Rules
5116×+-lowering-+.f64
5116×+-lowering-+.f32
3332×*-lowering-*.f32
3332×*-lowering-*.f64
1756×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911563
13331372
213501297
350831291
090011291
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 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)
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
(* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))))))
x
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))
1
(* (* 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))))
(* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))
(+ 106015151/2500000000 (* (* x x) 36322091/5000000000))
106015151/2500000000
(* (* x x) 36322091/5000000000)
36322091/5000000000
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))
(+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))
2909738639/10000000000
(* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
(* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))))))
x
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))))
1
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))))
(* x x)
(+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))
1049934947/10000000000
(* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))
(* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))
(+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))
106015151/2500000000
(* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))
(+ 36322091/5000000000 (* (* x x) 2532017/5000000000))
36322091/5000000000
(* (* x x) 2532017/5000000000)
2532017/5000000000
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))
(+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))
2909738639/10000000000
(* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(/ (/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2)))) x)
(/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2))))
(+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x)))))))
1/8
(* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))
(/ (+ 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
(/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x)))))
(/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))
(+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2)))
1/4
(* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2))
(- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2)
1/2
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))
(* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))))
x
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))
1
(* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))))
(* x x)
(+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))
1049934947/10000000000
(* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))))
(+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
106015151/2500000000
(* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(* x 36322091/5000000000)
36322091/5000000000
(* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))
(+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
2909738639/10000000000
(* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(* x (* x x))
(* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
Outputs
(/ 1 (* x (+ 2 (/ -600041/596657 (* x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -600041/596657 binary64) x)))
1
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x
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2
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-600041/596657
#s(literal -600041/596657 binary64)
(* x x)
(*.f64 x x)
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x
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(* x x)
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1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
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106015151/2500000000
#s(literal 106015151/2500000000 binary64)
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(*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
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7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
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2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
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694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* x x) 70002721/5000000000)
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
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x
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1
#s(literal 1 binary64)
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(* x x)
(*.f64 x x)
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1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
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(* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))
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106015151/2500000000
#s(literal 106015151/2500000000 binary64)
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(+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64)))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
(* (* x x) 2532017/5000000000)
(*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))
2532017/5000000000
#s(literal 2532017/5000000000 binary64)
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))))))))
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7715471019/10000000000
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1049934947/10000000000
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36322091/5000000000
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1789971/10000000000
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7715471019/10000000000
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2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
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694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* x x) 70002721/5000000000)
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70002721/5000000000
#s(literal 70002721/5000000000 binary64)
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1665589/2000000000
#s(literal 1665589/2000000000 binary64)
(* (* x x) 1789971/5000000000)
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)

localize513.0ms (3.6%)

Localize:

Found 20 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))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy47.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
✓accuracy99.7%
(/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 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))
✓accuracy67.0%
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)))))
✓accuracy99.8%
(*.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))))))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy50.2%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓accuracy99.8%
(*.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))))))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
✓accuracy48.4%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓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))
✓accuracy78.0%
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
Results
303.0ms256×0valid
Compiler

Compiled 1623 to 92 computations (94.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-mult: 65.0ms (36.3% of total)
...c/correct-round.rkt:119:19: 65.0ms (36.3% of total)
ival-add: 29.0ms (16.2% of total)
ival-div: 18.0ms (10.1% of total)
ival-sub: 1.0ms (0.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.2%)

Counts
30 → 360
Calls
Call 1
Inputs
#<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 (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))))))>
#<alt (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))>
#<alt (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))))>
#<alt (/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))))))>
#<alt (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))))>
#<alt (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))))>
#<alt (/ (/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2)))) x)>
#<alt (/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2))))>
#<alt (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x)))))))>
#<alt (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))>
#<alt (/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))>
#<alt (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))>
#<alt (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))>
#<alt (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))>
#<alt (* x x)>
#<alt (* (* x x) 70002721/5000000000)>
#<alt (* (* x x) 36322091/5000000000)>
#<alt (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))>
#<alt (* (* x x) 2532017/5000000000)>
#<alt (/ 1307076337763/8543989815576 (* x x))>
#<alt (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))>
#<alt (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* (* x x) 1789971/5000000000)>
Outputs
#<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 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 (/ 36322091/70002721 x)>
#<alt (/ (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4))) x)>
#<alt (/ (- (+ 36322091/70002721 (+ (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))) (* 11693038672531519160476336353393827/192109867437428530345583532426248 (/ 1 (pow x 6))))) (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4))) x)>
#<alt (/ 36322091/70002721 x)>
#<alt (/ (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4)) (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))))) x))>
#<alt (* -1 (/ (- (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4)) (+ 36322091/70002721 (+ (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))) (* 11693038672531519160476336353393827/192109867437428530345583532426248 (/ 1 (pow x 6)))))) x))>
#<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 (* 36322091/5000000000 (pow x 7))>
#<alt (* (pow x 7) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 36322091/5000000000 (pow x 7))>
#<alt (* (pow x 7) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))) (pow x 2))) 36322091/5000000000)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1049934947/10000000000 (/ 1 (pow x 2))) (pow x 4))) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1049934947/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))>
#<alt (* 36322091/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 36322091/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))>
#<alt (* 36322091/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* 36322091/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (* 2532017/70002721 x)>
#<alt (* x (+ 2532017/70002721 (* 3326663410519285/9800761894807682 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2532017/70002721 (+ (/ 814072600180671168944597/1372160001019307023405444 (pow x 4)) (* 3326663410519285/9800761894807682 (/ 1 (pow x 2))))))>
#<alt (* x (- (+ 2532017/70002721 (+ (/ 814072600180671168944597/1372160001019307023405444 (pow x 4)) (* 3326663410519285/9800761894807682 (/ 1 (pow x 2))))) (* 862883264910623373556712886396251/192109867437428530345583532426248 (/ 1 (pow x 6)))))>
#<alt (* 2532017/70002721 x)>
#<alt (* x (+ 2532017/70002721 (* 3326663410519285/9800761894807682 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 3326663410519285/9800761894807682 (* 814072600180671168944597/1372160001019307023405444 (/ 1 (pow x 2)))) (pow x 2))) 2532017/70002721)))>
#<alt (* -1 (* x (- (* 862883264910623373556712886396251/192109867437428530345583532426248 (/ 1 (pow x 6))) (+ 2532017/70002721 (+ (/ 814072600180671168944597/1372160001019307023405444 (pow x 4)) (* 3326663410519285/9800761894807682 (/ 1 (pow x 2))))))))>
#<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 (* 2532017/5000000000 (pow x 9))>
#<alt (* (pow x 9) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))>
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#<alt (* (pow x 4) (+ 8543989815576/1307076337763 (* -18353446859519188419040272/1708448552739936059844169 (pow x 2))))>
#<alt (* (pow x 4) (+ 8543989815576/1307076337763 (* (pow x 2) (- (* 39425259029582049050881038325180793184/2233072677571813184455900420990053947 (pow x 2)) 18353446859519188419040272/1708448552739936059844169))))>
#<alt (* (pow x 4) (+ 8543989815576/1307076337763 (* (pow x 2) (- (* (pow x 2) (+ 39425259029582049050881038325180793184/2233072677571813184455900420990053947 (* -84689871142295107986799075338164888367172818128448/2918796457359182084574217120044289647692563300561 (pow x 2)))) 18353446859519188419040272/1708448552739936059844169))))>
#<alt (* 2386628/600041 (pow x 2))>
#<alt (* (pow x 2) (- 2386628/600041 (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (+ (* 2614152675526/1080147605043 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/2492108490190894006284217164695070006 (/ 1 (pow x 6))))))>
#<alt (* 2386628/600041 (pow x 2))>
#<alt (* (pow x 2) (- 2386628/600041 (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (+ (* 2614152675526/1080147605043 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/2492108490190894006284217164695070006 (/ 1 (pow x 6))))))>
#<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

90 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))
3.0ms
x
@-inf
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
2.0ms
x
@0
(* (* x x) 1789971/5000000000)
1.0ms
x
@0
(/ (/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2)))) x)
1.0ms
x
@inf
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))

rewrite390.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4670×*-lowering-*.f32
4670×*-lowering-*.f64
2854×/-lowering-/.f32
2854×/-lowering-/.f64
2024×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091716
1719540
27720540
08407540
Stop Event
1×iter limit
1×node limit
Counts
30 → 524
Calls
Call 1
Inputs
(/ 1 (* x (+ 2 (/ -600041/596657 (* x x)))))
(* x (+ 2 (/ -600041/596657 (* x x))))
(+ 2 (/ -600041/596657 (* x x)))
(/ -600041/596657 (* x x))
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
(* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))))))
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))))))
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))))))
(* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))))))
(+ 1 (* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000)))))))))
(* (* x x) (+ 1049934947/10000000000 (* x (* x (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) 2532017/5000000000))))))))
(/ (/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2)))) x)
(/ (+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))) (+ 1/4 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (- (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) 1/2))))
(+ 1/8 (* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x)))))))
(* (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x)) (/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))))
(/ (* x (+ 1 (* (* x x) (+ 1049934947/10000000000 (* (* x x) (+ 106015151/2500000000 (* x (+ (* x 36322091/5000000000) (* (* x x) (* x (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))))))) (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)) (* (* x (* x x)) (* x (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))))
(* x x)
(* (* x x) 70002721/5000000000)
(* (* x x) 36322091/5000000000)
(* (* x x) (+ 2909738639/10000000000 (* (* x x) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))))
(* (* x x) 2532017/5000000000)
(/ 1307076337763/8543989815576 (* x x))
(/ (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))) (* x x))
(/ (* x x) (+ 600041/2386628 (/ 1307076337763/8543989815576 (* x x))))
(* (* x x) 1789971/10000000000)
(* (* x x) 1789971/5000000000)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(neg.f64 (/.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 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) x)
(pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))))
(+.f64 (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))))
(fma.f64 #s(literal 2 binary64) x (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))) (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64))))) (-.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x (/.f64 (*.f64 x x) #s(literal -600041/596657 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(*.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) x)
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(fma.f64 #s(literal -600041/596657 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -1200082/596657 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/355999575649 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)) #s(literal 2 binary64))))))
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simplify366.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4954×+-lowering-+.f64
4954×+-lowering-+.f32
4038×*-lowering-*.f32
4038×*-lowering-*.f64
1646×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04123612
112143428
236403361
082743361
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* -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))
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))))
(/ 36322091/70002721 x)
(/ (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) x)
(/ (- (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4))) x)
(/ (- (+ 36322091/70002721 (+ (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))) (* 11693038672531519160476336353393827/192109867437428530345583532426248 (/ 1 (pow x 6))))) (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4))) x)
(/ 36322091/70002721 x)
(/ (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4)) (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))))) x))
(* -1 (/ (- (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4)) (+ 36322091/70002721 (+ (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))) (* 11693038672531519160476336353393827/192109867437428530345583532426248 (/ 1 (pow x 6)))))) x))
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))))))))
(* 36322091/5000000000 (pow x 7))
(* (pow x 7) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 36322091/5000000000 (pow x 7))
(* (pow x 7) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))) (pow x 2))) 36322091/5000000000)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1049934947/10000000000 (/ 1 (pow x 2))) (pow x 4))) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (+ (* 106015151/2500000000 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* 36322091/5000000000 (pow x 6))
(* (pow x 6) (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 36322091/5000000000 (+ (/ 1049934947/10000000000 (pow x 4)) (* 106015151/2500000000 (/ 1 (pow x 2))))))
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))))
(* 2532017/70002721 x)
(* x (+ 2532017/70002721 (* 3326663410519285/9800761894807682 (/ 1 (pow x 2)))))
(* x (+ 2532017/70002721 (+ (/ 814072600180671168944597/1372160001019307023405444 (pow x 4)) (* 3326663410519285/9800761894807682 (/ 1 (pow x 2))))))
(* x (- (+ 2532017/70002721 (+ (/ 814072600180671168944597/1372160001019307023405444 (pow x 4)) (* 3326663410519285/9800761894807682 (/ 1 (pow x 2))))) (* 862883264910623373556712886396251/192109867437428530345583532426248 (/ 1 (pow x 6)))))
(* 2532017/70002721 x)
(* x (+ 2532017/70002721 (* 3326663410519285/9800761894807682 (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 (/ (+ 3326663410519285/9800761894807682 (* 814072600180671168944597/1372160001019307023405444 (/ 1 (pow x 2)))) (pow x 2))) 2532017/70002721)))
(* -1 (* x (- (* 862883264910623373556712886396251/192109867437428530345583532426248 (/ 1 (pow x 6))) (+ 2532017/70002721 (+ (/ 814072600180671168944597/1372160001019307023405444 (pow x 4)) (* 3326663410519285/9800761894807682 (/ 1 (pow x 2))))))))
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))))))))
(* 2532017/5000000000 (pow x 9))
(* (pow x 9) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 9) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(* 2532017/5000000000 (pow x 9))
(* (pow x 9) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))) (pow x 2))) 2532017/5000000000)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 106015151/2500000000 (* 1049934947/10000000000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 2532017/5000000000 (pow x 8))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(* 2532017/5000000000 (pow x 8))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))))
(* 2532017/5000000000 (pow x 8))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(* 2532017/5000000000 (pow x 8))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(/ 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)))))
(/ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (pow x 12))
(/ (+ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (* 1025139178034623973284955010929/58074425302584792646735468843776 (pow x 2))) (pow x 12))
(/ (+ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (* (pow x 2) (+ 1025139178034623973284955010929/58074425302584792646735468843776 (* 470611791947693263379603/16222169326370313442713728 (pow x 2))))) (pow x 12))
(/ (+ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (* (pow x 2) (+ 1025139178034623973284955010929/58074425302584792646735468843776 (* (pow x 2) (+ 470611791947693263379603/16222169326370313442713728 (* 216044283025868921/13594216883712345152 (pow x 2))))))) (pow x 12))
1/8
(+ 1/8 (* 216044283025868921/13594216883712345152 (/ 1 (pow x 6))))
(+ 1/8 (+ (/ 470611791947693263379603/16222169326370313442713728 (pow x 8)) (* 216044283025868921/13594216883712345152 (/ 1 (pow x 6)))))
(+ 1/8 (+ (/ 470611791947693263379603/16222169326370313442713728 (pow x 8)) (+ (* 216044283025868921/13594216883712345152 (/ 1 (pow x 6))) (* 1025139178034623973284955010929/58074425302584792646735468843776 (/ 1 (pow x 10))))))
1/8
(+ 1/8 (* 216044283025868921/13594216883712345152 (/ 1 (pow x 6))))
(+ 1/8 (+ (/ 470611791947693263379603/16222169326370313442713728 (pow x 8)) (* 216044283025868921/13594216883712345152 (/ 1 (pow x 6)))))
(+ 1/8 (+ (/ 470611791947693263379603/16222169326370313442713728 (pow x 8)) (+ (* 216044283025868921/13594216883712345152 (/ 1 (pow x 6))) (* 1025139178034623973284955010929/58074425302584792646735468843776 (/ 1 (pow x 10))))))
(/ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (pow x 12))
(/ (+ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (* 1025139178034623973284955010929/58074425302584792646735468843776 (pow x 2))) (pow x 12))
(/ (+ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (* (pow x 2) (+ 1025139178034623973284955010929/58074425302584792646735468843776 (* 470611791947693263379603/16222169326370313442713728 (pow x 2))))) (pow x 12))
(/ (+ 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (* (pow x 2) (+ 1025139178034623973284955010929/58074425302584792646735468843776 (* (pow x 2) (+ 470611791947693263379603/16222169326370313442713728 (* 216044283025868921/13594216883712345152 (pow x 2))))))) (pow x 12))
(/ 216044283025868921/13594216883712345152 (pow x 6))
(/ (+ 216044283025868921/13594216883712345152 (* 470611791947693263379603/16222169326370313442713728 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 216044283025868921/13594216883712345152 (+ (/ 1025139178034623973284955010929/58074425302584792646735468843776 (pow x 4)) (* 470611791947693263379603/16222169326370313442713728 (/ 1 (pow x 2))))) (pow x 6))
(/ (+ 216044283025868921/13594216883712345152 (+ (/ 1025139178034623973284955010929/58074425302584792646735468843776 (pow x 4)) (+ (* 470611791947693263379603/16222169326370313442713728 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (/ 1 (pow x 6)))))) (pow x 6))
(/ 216044283025868921/13594216883712345152 (pow x 6))
(/ (+ 216044283025868921/13594216883712345152 (* 470611791947693263379603/16222169326370313442713728 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 216044283025868921/13594216883712345152 (+ (/ 1025139178034623973284955010929/58074425302584792646735468843776 (pow x 4)) (* 470611791947693263379603/16222169326370313442713728 (/ 1 (pow x 2))))) (pow x 6))
(/ (+ 216044283025868921/13594216883712345152 (+ (/ 1025139178034623973284955010929/58074425302584792646735468843776 (pow x 4)) (+ (* 470611791947693263379603/16222169326370313442713728 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/623709222799758023272018403410575422976 (/ 1 (pow x 6)))))) (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)))))))
7715471019/10000000000
(+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))
(+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 10))
(* (pow x 10) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(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)
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 70002721/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 36322091/5000000000 (pow x 2))
(* 2909738639/10000000000 (pow x 2))
(* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2))))
(* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))
(* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2))))))
(* 70002721/5000000000 (pow x 6))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* 70002721/5000000000 (pow x 6))
(* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(* 2532017/5000000000 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 2))
(/ 1307076337763/8543989815576 (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(* 8543989815576/1307076337763 (pow x 4))
(* (pow x 4) (+ 8543989815576/1307076337763 (* -18353446859519188419040272/1708448552739936059844169 (pow x 2))))
(* (pow x 4) (+ 8543989815576/1307076337763 (* (pow x 2) (- (* 39425259029582049050881038325180793184/2233072677571813184455900420990053947 (pow x 2)) 18353446859519188419040272/1708448552739936059844169))))
(* (pow x 4) (+ 8543989815576/1307076337763 (* (pow x 2) (- (* (pow x 2) (+ 39425259029582049050881038325180793184/2233072677571813184455900420990053947 (* -84689871142295107986799075338164888367172818128448/2918796457359182084574217120044289647692563300561 (pow x 2)))) 18353446859519188419040272/1708448552739936059844169))))
(* 2386628/600041 (pow x 2))
(* (pow x 2) (- 2386628/600041 (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (+ (* 2614152675526/1080147605043 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/2492108490190894006284217164695070006 (/ 1 (pow x 6))))))
(* 2386628/600041 (pow x 2))
(* (pow x 2) (- 2386628/600041 (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (+ (* 2614152675526/1080147605043 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/2492108490190894006284217164695070006 (/ 1 (pow x 6))))))
(* 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
(* -596657/600041 x)
(*.f64 #s(literal -596657/600041 binary64) x)
(* 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 (*.f64 x x) (*.f64 x x))))) x)
(/ (+ 1/2 (+ (/ 360049201681/2847996605192 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 216044283025868921/3398554220928086288 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 360049201681/2847996605192 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 216044283025868921/3398554220928086288 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #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 (/.f64 (+.f64 #s(literal -600041/2386628 binary64) (/.f64 #s(literal -360049201681/2847996605192 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 360049201681/2847996605192 (* 216044283025868921/3398554220928086288 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 360049201681/2847996605192 binary64) (/.f64 #s(literal 216044283025868921/3398554220928086288 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))) x)
(/ -600041/596657 x)
(/.f64 #s(literal -600041/596657 binary64) x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(/.f64 (+.f64 #s(literal -600041/596657 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(/.f64 (+.f64 #s(literal -600041/596657 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(/ (- (* 2 (pow x 2)) 600041/596657) x)
(/.f64 (+.f64 #s(literal -600041/596657 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(* 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 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x))))
(* 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)))
(*.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)))
(*.f64 x (+.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))
(/ (- (* 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))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(/ 36322091/70002721 x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(/ (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 36322091/70002721 binary64) (/.f64 #s(literal 4457678593287233/9800761894807682 binary64) (*.f64 x x))) x)
(/ (- (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4))) x)
(/.f64 (-.f64 (/.f64 #s(literal 4457678593287233/9800761894807682 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 7602809908507942495355317/1372160001019307023405444 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -36322091/70002721 binary64))) x)
(/ (- (+ 36322091/70002721 (+ (* 4457678593287233/9800761894807682 (/ 1 (pow x 2))) (* 11693038672531519160476336353393827/192109867437428530345583532426248 (/ 1 (pow x 6))))) (/ 7602809908507942495355317/1372160001019307023405444 (pow x 4))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4457678593287233/9800761894807682 binary64) (*.f64 x x)) (+.f64 #s(literal 36322091/70002721 binary64) (/.f64 #s(literal 11693038672531519160476336353393827/192109867437428530345583532426248 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 7602809908507942495355317/1372160001019307023405444 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)
(/ 36322091/70002721 x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(/ (+ 36322091/70002721 (* 4457678593287233/9800761894807682 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 36322091/70002721 binary64) (/.f64 #s(literal 4457678593287233/9800761894807682 binary64) (*.f64 x x))) x)
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(* 70002721/5000000000 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 70002721/5000000000 binary64))
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(* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
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(* 2532017/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))
(* 2532017/5000000000 (pow x 2))
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(* 2532017/5000000000 (pow x 2))
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(* 2532017/5000000000 (pow x 2))
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(* 2532017/5000000000 (pow x 2))
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(* 2532017/5000000000 (pow x 2))
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(* 2532017/5000000000 (pow x 2))
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(/ 1307076337763/8543989815576 (pow x 2))
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(/ 1307076337763/8543989815576 (pow x 2))
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(/ 1307076337763/8543989815576 (pow x 4))
(/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (+ 1307076337763/8543989815576 (* 600041/2386628 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x #s(literal 600041/2386628 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
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(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))
(* 8543989815576/1307076337763 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 8543989815576/1307076337763 binary64))
(* (pow x 4) (+ 8543989815576/1307076337763 (* -18353446859519188419040272/1708448552739936059844169 (pow x 2))))
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(* (pow x 4) (+ 8543989815576/1307076337763 (* (pow x 2) (- (* 39425259029582049050881038325180793184/2233072677571813184455900420990053947 (pow x 2)) 18353446859519188419040272/1708448552739936059844169))))
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 8543989815576/1307076337763 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -18353446859519188419040272/1708448552739936059844169 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 39425259029582049050881038325180793184/2233072677571813184455900420990053947 binary64) (*.f64 (*.f64 x x) #s(literal -84689871142295107986799075338164888367172818128448/2918796457359182084574217120044289647692563300561 binary64))))))))
(* 2386628/600041 (pow x 2))
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(* (pow x 2) (- 2386628/600041 (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
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(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
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(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (+ (* 2614152675526/1080147605043 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/2492108490190894006284217164695070006 (/ 1 (pow x 6))))))
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(* 2386628/600041 (pow x 2))
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(* (pow x 2) (- 2386628/600041 (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
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(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (* 2614152675526/1080147605043 (/ 1 (pow x 2)))))
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(* (pow x 2) (- (+ 2386628/600041 (/ 1708448552739936059844169/1160139003996292855173873 (pow x 4))) (+ (* 2614152675526/1080147605043 (/ 1 (pow x 2))) (* 2233072677571813184455900420990053947/2492108490190894006284217164695070006 (/ 1 (pow x 6))))))
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(* 1789971/10000000000 (pow x 2))
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(* 1789971/10000000000 (pow x 2))
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(* 1789971/10000000000 (pow x 2))
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(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))

eval247.0ms (1.7%)

Compiler

Compiled 106566 to 4248 computations (96% saved)

prune182.0ms (1.3%)

Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New169241696
Fresh011
Picked235
Done077
Total1694151709
Accuracy
100.0%
Counts
1709 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
57.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))) x)
46.4%
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
✓57.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
✓57.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
46.4%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
✓43.3%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓44.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
✓58.7%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
16.1%
(/.f64 #s(literal 36322091/70002721 binary64) x)
✓58.1%
(/.f64 #s(literal 1/2 binary64) x)
✓43.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
✓44.2%
(*.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)
✓43.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓44.7%
x
Compiler

Compiled 1592 to 498 computations (68.7% saved)

regimes22.0ms (0.2%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))))))))))
(/.f64 #s(literal 1/2 binary64) x)
Calls

2 calls:

7.0ms
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
6.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
99.6%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)

regimes11.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 36322091/5000000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)
Outputs
(*.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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%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 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (*.f64 x x)) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.5%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 #s(literal 36322091/70002721 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 36322091/70002721 binary64) x)
Outputs
x
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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
44.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch8.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
7.0ms
54680000.59389227
67039391.56025427
Results
6.0ms16×0valid
Compiler

Compiled 272 to 100 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.5% of total)
...c/correct-round.rkt:119:19: 2.0ms (39.5% of total)
ival-add: 1.0ms (19.8% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
29.0ms
2.7002443921141444
12700.235491779962
Results
26.0ms64×0valid
Compiler

Compiled 522 to 247 computations (52.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
...c/correct-round.rkt:119:19: 12.0ms (50.4% of total)
ival-mult: 8.0ms (33.6% of total)
ival-add: 3.0ms (12.6% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
0.15474961482396637
2.7002443921141444
Results
42.0ms112×0valid
Compiler

Compiled 682 to 341 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
...c/correct-round.rkt:119:19: 17.0ms (44.9% of total)
ival-mult: 14.0ms (37% of total)
ival-add: 6.0ms (15.8% of total)
ival-div: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
51.0ms
0.15474961482396637
2.7002443921141444
Results
44.0ms112×0valid
Compiler

Compiled 640 to 320 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 18.0ms (45.4% of total)
...c/correct-round.rkt:119:19: 15.0ms (37.8% of total)
ival-add: 6.0ms (15.1% of total)
ival-div: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch63.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
57.0ms
0.15474961482396637
2.7002443921141444
Results
53.0ms112×0valid
Compiler

Compiled 458 to 229 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
...c/correct-round.rkt:119:19: 28.0ms (58% of total)
ival-mult: 14.0ms (29% of total)
ival-add: 6.0ms (12.4% of total)
ival-div: 1.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
0.15474961482396637
2.7002443921141444
Results
43.0ms112×0valid
Compiler

Compiled 416 to 208 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
...c/correct-round.rkt:119:19: 17.0ms (44.5% of total)
ival-mult: 14.0ms (36.6% of total)
ival-add: 6.0ms (15.7% of total)
ival-div: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
0.15474961482396637
2.7002443921141444
Results
46.0ms112×0valid
Compiler

Compiled 374 to 187 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 17.0ms (41.4% of total)
...c/correct-round.rkt:119:19: 17.0ms (41.4% of total)
ival-add: 6.0ms (14.6% of total)
ival-div: 1.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch79.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
74.0ms
0.15474961482396637
2.7002443921141444
Results
70.0ms112×0valid
Compiler

Compiled 332 to 159 computations (52.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-add: 35.0ms (53.9% of total)
...c/correct-round.rkt:119:19: 15.0ms (23.1% of total)
ival-mult: 14.0ms (21.6% of total)
ival-div: 1.0ms (1.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
0.15474961482396637
2.7002443921141444
Results
44.0ms112×0valid
Compiler

Compiled 290 to 131 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
...c/correct-round.rkt:119:19: 15.0ms (41.8% of total)
ival-mult: 14.0ms (39% of total)
ival-add: 6.0ms (16.7% of total)
ival-div: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
51.0ms
0.15474961482396637
2.7002443921141444
Results
47.0ms112×0valid
Compiler

Compiled 234 to 89 computations (62% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 19.0ms (44.6% of total)
...c/correct-round.rkt:119:19: 17.0ms (39.9% of total)
ival-add: 6.0ms (14.1% of total)
ival-div: 1.0ms (2.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
124×*-commutative_binary64
84×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164467
1271467
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 60000000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 5000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 1080863910568919/562949953421312 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 5/2 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x
Outputs
(if (<=.f64 x #s(literal 60000000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 70002721/5000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64))))))))))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 5000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 70002721/5000000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 1080863910568919/562949953421312 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 5/2 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 x (*.f64 x #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 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 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) x (/.f64 #s(literal 1/2 binary64) x))
x

soundness2.3s (16%)

Rules
5032×+-lowering-+.f64
5032×+-lowering-+.f32
4670×*-lowering-*.f32
4670×*-lowering-*.f64
4412×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045166
1141104
268870
3420264
4635160
5648860
6660460
7687260
8719060
9719260
0811760
02922810
18852663
228632648
367182648
080842648
091716
1719540
27720540
08407540
086482
1674404
26309404
08448404
01611464
14781383
214711356
346231350
081661350
077618
1588374
26736374
08318374
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 838 to 379 computations (54.8% saved)

preprocess190.0ms (1.3%)

Compiler

Compiled 1474 to 522 computations (64.6% saved)

end0.0ms (0%)

Profiling

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