Jmat.Real.dawson

Time bar (total: 10.7s)

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)

sample3.7s (34.9%)

Results
3.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
...c/correct-round.rkt:119:19: 1.2s (44% of total)
ival-mult: 1.0s (35.9% of total)
ival-add: 470.0ms (16.8% of total)
ival-div: 71.0ms (2.5% of total)
const: 15.0ms (0.5% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess359.0ms (3.3%)

Algorithm
2×egg-herbie
Rules
5068×+-lowering-+.f64
5068×+-lowering-+.f32
4168×*-lowering-*.f32
4168×*-lowering-*.f64
1824×fma-define
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
077301
1350226
21227193
36489190
045100
114275
267564
3410563
4629462
5642762
6653961
7682061
8713959
9714259
0807059
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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))
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 (sum4 1 (* 1049934947/10000000000 (square x)) (* (pow x 4) (+ 106015151/2500000000 (* 36322091/5000000000 (square x)))) (* (pow (square x) 4) (+ 2532017/5000000000 (* 1789971/10000000000 (square x)))))) (sum5 1 (* 7715471019/10000000000 (square x)) (* 2909738639/10000000000 (pow x 4)) (* (pow (square x) 3) (+ 694555761/10000000000 (* 70002721/5000000000 (square x)))) (* (pow (square x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (square x))))))
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x))
(/ (* x (sum4 1 (* 1049934947/10000000000 (square x)) (* (pow x 4) (+ 106015151/2500000000 (* 36322091/5000000000 (square x)))) (* (pow (square x) 4) (+ 2532017/5000000000 (* 1789971/10000000000 (square x)))))) (neg (sum5 1 (* 7715471019/10000000000 (square x)) (* 2909738639/10000000000 (pow x 4)) (* (pow (square x) 3) (+ 694555761/10000000000 (* 70002721/5000000000 (square x)))) (* (pow (square x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (square x)))))))
(neg (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* (neg x) (neg x)))) (* 106015151/2500000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 36322091/5000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 2532017/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1789971/10000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* (neg x) (neg x)))) (* 2909738639/10000000000 (* (* (neg x) (neg x)) (* (neg x) (neg x))))) (* 694555761/10000000000 (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 70002721/5000000000 (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* 1665589/2000000000 (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* (neg x) (neg x)) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x))) (* (neg x) (neg x)))))) (neg x)))
(/ (* x (sum4 1 (* 1049934947/10000000000 (square x)) (* (pow x 4) (+ 106015151/2500000000 (* 36322091/5000000000 (square x)))) (* (pow (square x) 4) (+ 2532017/5000000000 (* 1789971/10000000000 (square x)))))) (sum5 1 (* 7715471019/10000000000 (square x)) (* 2909738639/10000000000 (pow x 4)) (* (pow (square x) 3) (+ 694555761/10000000000 (* 70002721/5000000000 (square x)))) (* (pow (square x) 5) (+ 1665589/2000000000 (* 1789971/5000000000 (square x))))))
Symmetry

(negabs x)

explain578.0ms (5.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-0-(/.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)))))
670-2(6.157125953284045e+158)(*.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 1049934947/10000000000 binary64) (*.f64 x x))
00-0-x
00-0-(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64))
00-0-(*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 1665589/2000000000 binary64)
00-0-(*.f64 x x)
00-0-#s(literal 36322091/5000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 106015151/2500000000 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
00-0-(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
00-0-#s(literal 2909738639/10000000000 binary64)
00-0-(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
00-0-#s(literal 694555761/10000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 1789971/10000000000 binary64)
00-0-(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
00-0-#s(literal 2 binary64)
00-0-#s(literal 7715471019/10000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
00-0-#s(literal 2532017/5000000000 binary64)
00-0-(*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))
00-0-(*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))
00-0-#s(literal 70002721/5000000000 binary64)
00-0-#s(literal 1049934947/10000000000 binary64)
00-0-#s(literal 1 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))
00-0-(*.f64 (*.f64 x x) (*.f64 x x))
Results
345.0ms512×0valid
Compiler

Compiled 2266 to 134 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-mult: 72.0ms (43% of total)
...c/correct-round.rkt:119:19: 66.0ms (39.4% of total)
ival-add: 24.0ms (14.3% of total)
ival-div: 4.0ms (2.4% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 104 to 47 computations (54.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.1%
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))
▶55.1%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Compiler

Compiled 278 to 91 computations (67.3% saved)

simplify270.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))))
✓cost-diff256
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))
✓cost-diff256
(+.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
✓cost-diff512
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))
✓cost-diff512
(+.f64 (+.f64 (+.f64 (+.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))))
✓cost-diff768
(+.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))))
✓cost-diff1280
(+.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-diff1280
(+.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))))
Rules
4704×*-lowering-*.f32
4704×*-lowering-*.f64
4434×+-lowering-+.f64
4434×+-lowering-+.f32
1270×distribute-lft-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0771142
1301804
21476765
34886749
47422749
57528744
67639742
08081742
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) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))) (* (* x (* x (* (* 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))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* x (* x (* x x)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ (+ 1 (* (* x x) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))) (* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(+ 1 (* (* x x) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))))))
(* (* x x) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))
(+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))))
(* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
694555761/10000000000
(* (* x x) 70002721/5000000000)
70002721/5000000000
(+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))
7715471019/10000000000
(* x (* x 2909738639/10000000000))
(* x 2909738639/10000000000)
2909738639/10000000000
(* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(* x (* x (* (* x x) (* (* x x) (* x (* x (* x x)))))))
(* x (* (* x x) (* (* x x) (* x (* x (* x x))))))
(* (* x x) (* (* x x) (* x (* x (* x x)))))
(* (* x x) (* x (* x (* x x))))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
Outputs
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(+.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)))))))
(* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))))
(+ 694555761/10000000000 (* (* x x) 70002721/5000000000))
(+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* x x) 70002721/5000000000)
(*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(* x (* x 2909738639/10000000000))
(*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64)))
(* x 2909738639/10000000000)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))
(* x (* x (* (* x x) (* (* x x) (* x (* x (* x x)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(* x (* (* x x) (* (* x x) (* x (* x (* x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(* (* x x) (* (* x x) (* x (* x (* x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(* (* x x) (* x (* x (* x x))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
(+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))
1665589/2000000000
#s(literal 1665589/2000000000 binary64)
(* (* x x) 1789971/5000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)

localize453.0ms (4.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f64 x #s(literal 2909738639/10000000000 binary64))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy56.0%
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))
✓accuracy99.8%
(*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))
✓accuracy99.5%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy75.9%
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
✓accuracy55.9%
(/.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
271.0ms256×0valid
Compiler

Compiled 1725 to 78 computations (95.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-mult: 64.0ms (48.4% of total)
...c/correct-round.rkt:119:19: 40.0ms (30.3% of total)
ival-add: 23.0ms (17.4% of total)
ival-div: 3.0ms (2.3% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
16 → 192
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))))>
#<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 (* 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))))>
#<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))))>
#<alt (+ (* (* 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 (+ (+ 1 (* (* x x) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))) (* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))>
#<alt (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))))>
#<alt (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))>
#<alt (* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)>
#<alt (* 1049934947/10000000000 (* x x))>
#<alt (* 7715471019/10000000000 (* x x))>
#<alt (/ (* x (+ 1 (+ (* 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) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))) (* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* (* x x) 1789971/5000000000)>
#<alt (* x 2909738639/10000000000)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1049934947/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 10))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt 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 (* 70002721/5000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 70002721/5000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 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 (* 2532017/5000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 2532017/5000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 106015151/2500000000 (pow x 2))>
#<alt (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* (pow x 2) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))))))>
#<alt (* 1789971/10000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 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 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>
#<alt (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))>
#<alt (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))>
#<alt (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* (pow x 2) (+ 694555761/10000000000 (* 70002721/5000000000 (pow x 2)))))))>
#<alt (* 70002721/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 70002721/5000000000 (pow x 6))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 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 (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 1049934947/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt (* 7715471019/10000000000 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))>
#<alt (* 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))>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
#<alt (* 2909738639/10000000000 x)>
Calls

48 calls:

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

rewrite370.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3346×+-lowering-+.f64
3346×+-lowering-+.f32
3082×*-lowering-*.f32
3082×*-lowering-*.f64
1314×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077550
1319354
21661348
36374345
08107345
Stop Event
1×iter limit
1×node limit
Counts
16 → 546
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x))))
(+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))
(+ (+ (+ (+ 1 (* 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 (* 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))))
(+ (* (* 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)))))))
(+ (+ 1 (* (* x x) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))) (* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000))))
(/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x)))))
(* (/ (+ (+ (+ (+ (+ 1 (* 1049934947/10000000000 (* x x))) (* 106015151/2500000000 (* (* x x) (* x x)))) (* 36322091/5000000000 (* (* (* x x) (* x x)) (* x x)))) (* 2532017/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1789971/10000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 7715471019/10000000000 (* x x))) (* 2909738639/10000000000 (* (* x x) (* x x)))) (* 694555761/10000000000 (* (* (* x x) (* x x)) (* x x)))) (* 70002721/5000000000 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 1665589/2000000000 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 1789971/10000000000) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)
(* 1049934947/10000000000 (* x x))
(* 7715471019/10000000000 (* x x))
(/ (* x (+ 1 (+ (* 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) (+ (* (* x (* x (* x x))) (+ 694555761/10000000000 (* (* x x) 70002721/5000000000))) (+ 7715471019/10000000000 (* x (* x 2909738639/10000000000)))))) (* (* x (* x (* (* x x) (* (* x x) (* x (* x (* x x))))))) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(* (* x x) 1789971/10000000000)
(* (* x x) 1789971/5000000000)
(* x 2909738639/10000000000)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))
(+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))
(+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))
(+.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))
(+.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))
(+.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64))))))) (*.f64 x (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (-.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64))))))))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))
(*.f64 x (*.f64 x #s(literal 1789971/10000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/10000000000 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1789971/5000000000 binary64)) x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(*.f64 #s(literal 2909738639/10000000000 binary64) x)

simplify265.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3336×*-lowering-*.f32
3336×*-lowering-*.f64
3184×+-lowering-+.f64
3184×+-lowering-+.f32
1850×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01881962
15841642
218191630
355961620
081451620
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
1
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
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)))))))
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(* 70002721/5000000000 (pow x 8))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
1
(+ 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)))))))
(* 106015151/2500000000 (pow x 2))
(* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* (pow x 2) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
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
(+ 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)))))))
(* 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))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(* 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))) (* 7715471019/10000000000 (/ 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)))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 1049934947/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
(* 7715471019/10000000000 (pow x 2))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(* 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))
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
(* 2909738639/10000000000 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
(+ 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 x (*.f64 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)))))))))
(* 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))))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))))
(* 70002721/5000000000 (pow x 8))
(*.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 70002721/5000000000 binary64) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 7715471019/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 70002721/5000000000 (pow x 8))
(*.f64 #s(literal 70002721/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 70002721/5000000000 (* 694555761/10000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (* 694555761/10000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 70002721/5000000000 binary64) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 70002721/5000000000 (+ (/ 2909738639/10000000000 (pow x 4)) (+ (* 694555761/10000000000 (/ 1 (pow x 2))) (* 7715471019/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (/.f64 #s(literal 7715471019/10000000000 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 #s(literal 1049934947/10000000000 binary64) (*.f64 x x)))
(+ 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 x (*.f64 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)))))))))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 2532017/5000000000 (pow x 8))
(*.f64 #s(literal 2532017/5000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (* 36322091/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 2532017/5000000000 (+ (/ 106015151/2500000000 (pow x 4)) (+ (* 36322091/5000000000 (/ 1 (pow x 2))) (* 1049934947/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (+.f64 (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1049934947/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 106015151/2500000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64))
(* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 binary64)))))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* (pow x 2) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))
(* 1789971/10000000000 (pow x 8))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.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.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.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))))) (pow.f64 x #s(literal 8 binary64)))
(* 1789971/10000000000 (pow x 8))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.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.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.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))))) (pow.f64 x #s(literal 8 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(*.f64 x (*.f64 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))))))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2532017/5000000000 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)))))))
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(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))
(* 2909738639/10000000000 x)
(*.f64 x #s(literal 2909738639/10000000000 binary64))

eval132.0ms (1.2%)

Compiler

Compiled 85679 to 2198 computations (97.4% saved)

prune74.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New7486754
Fresh000
Picked202
Done000
Total7506756
Accuracy
100.0%
Counts
756 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
▶55.1%
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
▶50.3%
(/.f64 #s(literal 1/2 binary64) x)
▶25.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
▶52.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
▶53.1%
x
Compiler

Compiled 260 to 132 computations (49.2% saved)

simplify245.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -833192009/1250000000 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
✓cost-diff256
(+.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
✓cost-diff512
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))
✓cost-diff512
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))
Rules
4688×+-lowering-+.f64
4688×+-lowering-+.f32
3386×*-lowering-*.f32
3386×*-lowering-*.f64
1554×sum5-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
052480
1186398
2832385
33660384
47554384
57817380
67922380
08017380
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* 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 (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* 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))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(* x (* x (* x x)))
(* x (* x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
(+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))
(+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))
2909738639/10000000000
(* (* x x) 694555761/10000000000)
694555761/10000000000
(* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(* (* x (* x (* x x))) (* x (* x (* x x))))
(+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
70002721/5000000000
(* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
x
(/ 1/2 x)
1/2
x
(* (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(* x x)
x
(* (+ 1 (* x (* x -833192009/1250000000))) x)
(+ 1 (* x (* x -833192009/1250000000)))
1
(* x (* x -833192009/1250000000))
x
(* x -833192009/1250000000)
-833192009/1250000000
Outputs
(/ (* 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 (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.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 (+ 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)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))))
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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))))
1
#s(literal 1 binary64)
(+ (* 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)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))))
(* 1049934947/10000000000 (* x x))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
(* x x)
(*.f64 x x)
(* (* x x) (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
(+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
(* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(+ 106015151/2500000000 (* (* x x) 36322091/5000000000))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(* (* x x) 36322091/5000000000)
(*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
(* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(*.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
(+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))
2532017/5000000000
#s(literal 2532017/5000000000 binary64)
(* (* x x) 1789971/10000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
1789971/10000000000
#s(literal 1789971/10000000000 binary64)
(+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.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)))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))
(+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))
(+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* x x) 694555761/10000000000)
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.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 (* x x))) (* x (* x (* x x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(+.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))))))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))))
(+ 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)))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)
x
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* (/ 1/2 (* x x)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(* (+ 1 (* x (* x -833192009/1250000000))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(+ 1 (* x (* x -833192009/1250000000)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
1
#s(literal 1 binary64)
(* x (* x -833192009/1250000000))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
x
(* x -833192009/1250000000)
(*.f64 x #s(literal -833192009/1250000000 binary64))
-833192009/1250000000
#s(literal -833192009/1250000000 binary64)

localize312.0ms (2.9%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64))))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓accuracy99.9%
(*.f64 x #s(literal -833192009/1250000000 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy51.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy99.5%
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy56.0%
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
Results
201.0ms256×0valid
Compiler

Compiled 645 to 53 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
...c/correct-round.rkt:119:19: 51.0ms (48% of total)
ival-mult: 36.0ms (33.9% of total)
ival-add: 13.0ms (12.2% of total)
ival-div: 5.0ms (4.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) 36322091/5000000000))) (* (* x x) (* (* x (* x (* x x))) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))>
#<alt (+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))>
#<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 (+ (* 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 (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))>
#<alt (/ 1/2 x)>
#<alt (* (/ 1/2 (* x x)) x)>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<alt (* (+ 1 (* x (* x -833192009/1250000000))) x)>
#<alt (+ 1 (* x (* x -833192009/1250000000)))>
#<alt (* x (* x -833192009/1250000000))>
#<alt (* x -833192009/1250000000)>
#<alt (* (* x x) 1789971/10000000000)>
#<alt (* (* x x) 1789971/5000000000)>
#<alt (* 1049934947/10000000000 (* x x))>
Outputs
#<alt (* 106015151/2500000000 (pow x 2))>
#<alt (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))>
#<alt (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* (pow x 2) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))))))>
#<alt (* 1789971/10000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/10000000000 (pow x 8))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* 7715471019/10000000000 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 1789971/5000000000 (pow x 12))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))>
#<alt (* 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 (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* x (+ 1 (* -833192009/1250000000 (pow x 2))))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (+ 1 (* -833192009/1250000000 (pow x 2)))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 (pow x 2))>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* -833192009/1250000000 x)>
#<alt (* 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))>
#<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))>
Calls

45 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* (+ 1 (* x (* x -833192009/1250000000))) x)
0.0ms
x
@0
(* (+ 1 (* x (* x -833192009/1250000000))) x)
0.0ms
x
@-inf
(* (+ 1 (* x (* x -833192009/1250000000))) x)
0.0ms
x
@inf
(* x (* x -833192009/1250000000))
0.0ms
x
@inf
(+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))

rewrite306.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3844×*-lowering-*.f32
3844×*-lowering-*.f64
1554×sum5-define
1492×sum3-define
1440×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052198
1210166
21001158
34775157
08623157
Stop Event
1×iter limit
1×node limit
Counts
15 → 623
Calls
Call 1
Inputs
(+ (* (* 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 (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+ (* 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 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(/ 1/2 x)
(* (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
(* x x)
(* (+ 1 (* x (* x -833192009/1250000000))) x)
(+ 1 (* x (* x -833192009/1250000000)))
(* x (* x -833192009/1250000000))
(* x -833192009/1250000000)
(* (* x x) 1789971/10000000000)
(* (* x x) 1789971/5000000000)
(* 1049934947/10000000000 (* x x))
Outputs
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
(+.f64 (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2532017/5000000000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2532017/5000000000 binary64)))) (*.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 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2532017/5000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2532017/5000000000 binary64)))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2532017/5000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2532017/5000000000 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))) (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))) x (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(fma.f64 (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (*.f64 x #s(literal 106015151/2500000000 binary64)) x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) #s(literal 36322091/5000000000 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))
(*.f64 (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) x)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))) (*.f64 (*.f64 x x) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))
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(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
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(-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
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(*.f64 (*.f64 x #s(literal 1789971/10000000000 binary64)) x)
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(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
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(*.f64 #s(literal 1789971/5000000000 binary64) (*.f64 x x))
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(*.f64 (*.f64 x #s(literal 1789971/5000000000 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 1049934947/10000000000 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64))))
(*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1049934947/10000000000 binary64)) x)

simplify289.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4596×*-lowering-*.f32
4596×*-lowering-*.f64
3320×+-lowering-+.f64
3320×+-lowering-+.f32
1554×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01551242
14551031
214111016
344491014
081531014
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 106015151/2500000000 (pow x 2))
(* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* (pow x 2) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 8))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
1
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1789971/5000000000 (pow x 12))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(* 1049934947/10000000000 (pow x 2))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(* 1789971/10000000000 (pow x 10))
(* (pow x 10) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/ 1/2 x)
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(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(* -833192009/1250000000 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 3))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
1
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 (pow x 2))
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* -833192009/1250000000 x)
(* 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))
(* 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))
Outputs
(* 106015151/2500000000 (pow x 2))
(*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))
(* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64)))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 2532017/5000000000 binary64))))))))
(* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* (pow x 2) (+ 2532017/5000000000 (* 1789971/10000000000 (pow x 2))))))))
(*.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)))))))))
(* 1789971/10000000000 (pow x 8))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 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 8) (+ 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 8 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 8))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 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 8) (+ 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 8 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))))))
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 7715471019/10000000000 binary64))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 2909738639/10000000000 binary64))))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x)) #s(literal 1049934947/10000000000 binary64))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64))))) #s(literal 1049934947/10000000000 binary64))))
(* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* (pow x 2) (+ 36322091/5000000000 (* 2532017/5000000000 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x #s(literal 2532017/5000000000 binary64)))))))) #s(literal 1049934947/10000000000 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 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.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.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.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))))) (pow.f64 x #s(literal 10 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 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.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.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.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))))) (pow.f64 x #s(literal 10 binary64)))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (* 600041/2386628 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ (+ 1/2 (+ (/ 1307076337763/8543989815576 (pow x 4)) (+ (* 600041/2386628 (/ 1 (pow x 2))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1307076337763/8543989815576 binary64) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -833192009/1250000000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 833192009/1250000000))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -833192009/1250000000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
(* -1 (* (pow x 3) (- 833192009/1250000000 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(+ 1 (* -833192009/1250000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 833192009/1250000000))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64)))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* -833192009/1250000000 x)
(*.f64 x #s(literal -833192009/1250000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))
(* 1049934947/10000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))

eval192.0ms (1.8%)

Compiler

Compiled 78153 to 3644 computations (95.3% saved)

prune108.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New126411265
Fresh011
Picked145
Done000
Total126561271
Accuracy
100.0%
Counts
1271 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
▶55.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
✓50.3%
(/.f64 #s(literal 1/2 binary64) x)
✓25.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓52.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓53.1%
x
Compiler

Compiled 118 to 64 computations (45.8% saved)

simplify242.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
✓cost-diff512
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))))
Rules
5260×+-lowering-+.f64
5260×+-lowering-+.f32
4738×*-lowering-*.f32
4738×*-lowering-*.f64
1744×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046430
1161365
2664363
32663363
08002363
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))) (+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x))))
x
(+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))
1
(* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x))
(+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000)
(* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(* x x)
(+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
106015151/2500000000
(* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
36322091/5000000000
(* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
2532017/5000000000
(* (* x x) 1789971/10000000000)
1789971/10000000000
1049934947/10000000000
(+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))
7715471019/10000000000
(* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))
(+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))
2909738639/10000000000
(* (* x x) 694555761/10000000000)
694555761/10000000000
(* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(* (* x (* x (* x x))) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
70002721/5000000000
(* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
1665589/2000000000
(* (* x x) 1789971/5000000000)
1789971/5000000000
(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
(+ 1/2 (/ 600041/2386628 (* x x)))
1/2
(/ 600041/2386628 (* x x))
600041/2386628
(* x x)
x
Outputs
(/ (* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))) (+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) #s(literal 1049934947/10000000000 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))))
(* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) #s(literal 1049934947/10000000000 binary64)))))
x
(+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) #s(literal 1049934947/10000000000 binary64))))
1
#s(literal 1 binary64)
(* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) #s(literal 1049934947/10000000000 binary64)))
(+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) #s(literal 1049934947/10000000000 binary64))
(* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))))
(* x x)
(*.f64 x x)
(+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))
(+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))))
106015151/2500000000
#s(literal 106015151/2500000000 binary64)
(* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))
(+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))
(+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))))))
36322091/5000000000
#s(literal 36322091/5000000000 binary64)
(* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))
(+ 2532017/5000000000 (* (* x x) 1789971/10000000000))
(+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))
2532017/5000000000
#s(literal 2532017/5000000000 binary64)
(* (* x x) 1789971/10000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
1789971/10000000000
#s(literal 1789971/10000000000 binary64)
1049934947/10000000000
#s(literal 1049934947/10000000000 binary64)
(+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* 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 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))))))
(+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)))))))))
(* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64))))))))
(+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))))
(+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64))))))
7715471019/10000000000
#s(literal 7715471019/10000000000 binary64)
(* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)))))
(+ 2909738639/10000000000 (* (* x x) 694555761/10000000000))
(+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64))))
2909738639/10000000000
#s(literal 2909738639/10000000000 binary64)
(* (* x x) 694555761/10000000000)
(*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)))
694555761/10000000000
#s(literal 694555761/10000000000 binary64)
(* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
(* (* x (* x (* x x))) (* x (* x (* x x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))
(+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))
70002721/5000000000
#s(literal 70002721/5000000000 binary64)
(* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))))
(+ 1665589/2000000000 (* (* x x) 1789971/5000000000))
(+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64)))
1665589/2000000000
#s(literal 1665589/2000000000 binary64)
(* (* x x) 1789971/5000000000)
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
1789971/5000000000
#s(literal 1789971/5000000000 binary64)
(/ (+ 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

localize264.0ms (2.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓accuracy99.0%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))
✓accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
✓accuracy56.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
Results
183.0ms256×0valid
Compiler

Compiled 554 to 47 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
...c/correct-round.rkt:119:19: 38.0ms (43.7% of total)
ival-mult: 28.0ms (32.2% of total)
ival-add: 15.0ms (17.3% of total)
ival-div: 5.0ms (5.8% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))>
#<alt (/ (* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))) (+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))>
#<alt (* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x))))>
#<alt (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x 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 (* (* x x) 1789971/10000000000)>
#<alt (* (* x x) 1789971/5000000000)>
#<alt (* (* x x) 694555761/10000000000)>
Outputs
#<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 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 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 (/ 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 (* 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))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
#<alt (* 694555761/10000000000 (pow x 2))>
Calls

33 calls:

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

rewrite301.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3512×*-lowering-*.f32
3512×*-lowering-*.f64
1776×sum4-define
1488×/-lowering-/.f32
1488×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046180
1186154
2848150
33696150
08105150
Stop Event
1×iter limit
1×node limit
Counts
11 → 400
Calls
Call 1
Inputs
(+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000))))))
(/ (* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))) (+ (+ 1 (* (* x x) (+ 7715471019/10000000000 (* (* x x) (+ 2909738639/10000000000 (* (* x x) 694555761/10000000000)))))) (* (* (* x (* x (* x x))) (* x (* x (* x x)))) (+ 70002721/5000000000 (* (* x x) (+ 1665589/2000000000 (* (* x x) 1789971/5000000000)))))))
(* x (+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x))))
(+ 1 (* (+ (* (* x x) (+ 106015151/2500000000 (* (* x x) (+ 36322091/5000000000 (* (* x x) (+ 2532017/5000000000 (* (* x x) 1789971/10000000000))))))) 1049934947/10000000000) (* x x)))
(/ (+ 1/2 (/ 600041/2386628 (* x x))) x)
(+ 1/2 (/ 600041/2386628 (* x x)))
(/ 600041/2386628 (* x x))
(* x x)
(* (* x x) 1789971/10000000000)
(* (* x x) 1789971/5000000000)
(* (* x x) 694555761/10000000000)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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)))))))))))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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)))))))))))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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))))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))))
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(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))))
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(+.f64 (*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64)) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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))))))))))
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(+.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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)))))))))) #s(literal 1 binary64))
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(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 (*.f64 x (*.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)))))))))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))) (*.f64 (*.f64 x x) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal 1 binary64)))
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(+.f64 (+.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
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(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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))))))) (*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 x x))))))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 x x)))))
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(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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)))))))) (*.f64 x (*.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64)))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.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)))))))) (*.f64 (*.f64 x x) #s(literal 7715471019/10000000000 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))) (*.f64 x (*.f64 x x)))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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))))))))))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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)))))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.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))))))))))))
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(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))
(*.f64 x (*.f64 x #s(literal 694555761/10000000000 binary64)))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 x x))
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(*.f64 (*.f64 x #s(literal 694555761/10000000000 binary64)) x)

simplify284.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3446×*-lowering-*.f32
3446×*-lowering-*.f64
2834×+-lowering-+.f64
2834×+-lowering-+.f32
1526×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01591066
1458886
21373874
34144870
47893870
08606870
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
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)))))))
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))
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)))))))
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)))))))
(/ 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)
(* 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))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
(* 694555761/10000000000 (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 7715471019/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* 2909738639/10000000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))))
(+ 1 (* (pow x 2) (+ 7715471019/10000000000 (* (pow x 2) (+ 2909738639/10000000000 (* 694555761/10000000000 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64)))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1789971/5000000000 (pow x 12))
(*.f64 #s(literal 1789971/5000000000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1789971/5000000000 (* 1665589/2000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (* 1665589/2000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 12) (+ 1789971/5000000000 (+ (/ 70002721/5000000000 (pow x 4)) (+ (* 1665589/2000000000 (/ 1 (pow x 2))) (* 694555761/10000000000 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1789971/5000000000 binary64) (+.f64 (/.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1665589/2000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 694555761/10000000000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
x
(* x (+ 1 (* -833192009/1250000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3321371254951887171/12500000000000000000 (pow x 2)) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 (*.f64 x x) #s(literal 3321371254951887171/12500000000000000000 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3321371254951887171/12500000000000000000 (* -9156128575487588197208397249/125000000000000000000000000000 (pow x 2)))) 833192009/1250000000))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -833192009/1250000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3321371254951887171/12500000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -9156128575487588197208397249/125000000000000000000000000000 binary64)))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #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))) (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 344398180852034095277/30586987988352776592 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 600041/2386628 (* 1307076337763/8543989815576 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 600041/2386628 binary64) (/.f64 #s(literal 1307076337763/8543989815576 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1307076337763/8543989815576 (* 344398180852034095277/30586987988352776592 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 #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 (*.f64 x x) (*.f64 x x))))) x)
x
(* x (+ 1 (* 1049934947/10000000000 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 106015151/2500000000 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* (pow x 2) (+ 106015151/2500000000 (* 36322091/5000000000 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x (*.f64 x #s(literal 36322091/5000000000 binary64))))))))))
(* 1789971/10000000000 (pow x 11))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* (pow x 11) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 11) (+ 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 11 binary64)) (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1789971/10000000000 (pow x 11))
(*.f64 #s(literal 1789971/10000000000 binary64) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2532017/5000000000 (* 36322091/5000000000 (/ 1 (pow x 2)))) (pow x 2))) 1789971/10000000000)))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2532017/5000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 x x))) x) x)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 36322091/5000000000 (* 106015151/2500000000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1789971/10000000000 (* 2532017/5000000000 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 36322091/5000000000 binary64) (/.f64 #s(literal 106015151/2500000000 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1049934947/10000000000 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1049934947/10000000000 binary64))))
(+ 1 (* (pow x 2) (+ 1049934947/10000000000 (* 106015151/2500000000 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x (*.f64 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 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 10 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 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (* 2532017/5000000000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1789971/10000000000 (+ (/ 36322091/5000000000 (pow x 4)) (+ (* 2532017/5000000000 (/ 1 (pow x 2))) (* 106015151/2500000000 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1789971/10000000000 binary64) (/.f64 #s(literal 2532017/5000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 106015151/2500000000 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(/ 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 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/ 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)
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 1789971/5000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1789971/5000000000 binary64)))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))
(* 694555761/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))

eval163.0ms (1.5%)

Compiler

Compiled 69258 to 3456 computations (95% saved)

prune89.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New99911000
Fresh000
Picked112
Done044
Total100061006
Accuracy
100.0%
Counts
1006 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
▶50.0%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓50.3%
(/.f64 #s(literal 1/2 binary64) x)
✓25.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓52.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓53.1%
x
Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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
80×*-lowering-*.f32
80×*-lowering-*.f64
66×fma-define
40×/-lowering-/.f32
40×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0933
11833
23032
36132
49732
514332
618732
718932
018932
Stop Event
1×iter limit
1×saturated
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)
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)

localize48.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))))
✓accuracy99.0%
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
Results
34.0ms256×0valid
Compiler

Compiled 41 to 10 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (39.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (31.3% of total)
ival-mult: 2.0ms (15.7% of total)
ival-add: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
5 → 60
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 (* x x)>
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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
0.0ms
x
@0
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
0.0ms
x
@inf
(/ x (+ 1/2 (/ 600041/2386628 (* x x))))
0.0ms
x
@0
(/ 1 (/ x (+ 1/2 (/ 600041/2386628 (* x x)))))
0.0ms
x
@inf
(/ 600041/2386628 (* x x))

rewrite474.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
1604×*-lowering-*.f32
1604×*-lowering-*.f64
1582×/-lowering-/.f32
1582×/-lowering-/.f64
1190×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
14328
218728
391428
4325328
0826728
Stop Event
1×iter limit
1×node limit
Counts
5 → 578
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))
(* x x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 600041/2386628 binary64) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x) #s(literal -600041/2386628 binary64) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 600041/2386628 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -600041/2386628 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal -600041/2386628 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 #s(literal 600041/2386628 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 #s(literal -600041/2386628 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x) (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -600041/2386628 binary64) x) x) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))

simplify195.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2026×sum3-define
1814×fma-lowering-fma.f32
1814×fma-lowering-fma.f64
1732×fma-define
1570×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070426
1179354
2548352
31678352
44997352
08004352
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(* 2386628/600041 (pow x 3))
(* (pow x 3) (+ 2386628/600041 (* -2847996605192/360049201681 (pow x 2))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* 3398554220928086288/216044283025868921 (pow x 2)) 2847996605192/360049201681))))
(* (pow x 3) (+ 2386628/600041 (* (pow x 2) (- (* (pow x 2) (+ 3398554220928086288/216044283025868921 (* -4055542331592578360678432/129635427631125413225761 (pow x 2)))) 2847996605192/360049201681))))
(* 2 x)
(* x (- 2 (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (* 600041/596657 (/ 1 (pow x 2)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))
(* 2 x)
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 600041/596657 (/ 1 (pow x 2))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(/ 600041/2386628 (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(/ 600041/2386628 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(/ 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 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(/ (+ 1/2 (* 600041/2386628 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
(* 2386628/600041 (pow x 3))
(*.f64 x (*.f64 x (*.f64 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 x (*.f64 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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(* x (- (+ 2 (/ 360049201681/711999151298 (pow x 4))) (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6))))))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -600041/596657 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ (* 600041/596657 (/ 1 (pow x 2))) (* 216044283025868921/849638555232021572 (/ 1 (pow x 6)))) (+ 2 (/ 360049201681/711999151298 (pow x 4))))))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 360049201681/711999151298 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.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 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/ (+ 600041/2386628 (* 1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 600041/2386628 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(+ 1/2 (* 600041/2386628 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))
(/ 600041/2386628 (pow x 2))
(/.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)

eval154.0ms (1.4%)

Compiler

Compiled 11461 to 1753 computations (84.7% saved)

prune93.0ms (0.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New6380638
Fresh000
Picked011
Done055
Total6386644
Accuracy
100.0%
Counts
644 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x))) x)
✓50.0%
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
✓50.3%
(/.f64 #s(literal 1/2 binary64) x)
✓25.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
✓52.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
✓53.1%
x
Compiler

Compiled 541 to 146 computations (73% saved)

regimes11.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (+.f64 #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 1/2 binary64) (/.f64 #s(literal 600041/2386628 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))) #s(literal 1049934947/10000000000 binary64)) (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 694555761/10000000000 binary64))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))))
(/.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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/10000000000 binary64)))))))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 70002721/5000000000 binary64)))) (+.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 2909738639/10000000000 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1789971/5000000000 binary64))))))
(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 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

2 calls:

4.0ms
x
4.0ms
(*.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)
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)

regimes4.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -833192009/1250000000 binary64)))) x)
(/.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
53.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch74.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
67.0ms
3.4594061743202444e-5
325130.4714448836
Results
61.0ms160×0valid
Compiler

Compiled 398 to 207 computations (48% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
...c/correct-round.rkt:119:19: 22.0ms (41.3% of total)
ival-mult: 20.0ms (37.6% of total)
ival-add: 10.0ms (18.8% of total)
ival-div: 1.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch94.0ms (0.9%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
86.0ms
3.4594061743202444e-5
325130.4714448836
Results
80.0ms160×0valid
Compiler

Compiled 338 to 167 computations (50.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 41.0ms (56.4% of total)
...c/correct-round.rkt:119:19: 20.0ms (27.5% of total)
ival-add: 11.0ms (15.1% of total)
ival-div: 1.0ms (1.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
65.0ms
3.4594061743202444e-5
325130.4714448836
Results
59.0ms160×0valid
Compiler

Compiled 258 to 107 computations (58.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
...c/correct-round.rkt:119:19: 20.0ms (38.9% of total)
ival-mult: 17.0ms (33% of total)
ival-add: 10.0ms (19.4% of total)
const: 3.0ms (5.8% of total)
ival-div: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02347
13147
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 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

soundness327.0ms (3%)

Rules
3336×*-lowering-*.f32
3336×*-lowering-*.f64
3184×+-lowering-+.f64
3184×+-lowering-+.f32
1850×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01881962
15841642
218191630
355961620
081451620
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 90 to 52 computations (42.2% saved)

preprocess86.0ms (0.8%)

Compiler

Compiled 490 to 166 computations (66.1% saved)

end0.0ms (0%)

Profiling

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