Given's Rotation SVD example, simplified

Time bar (total: 16.9s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 14 to 10 computations (28.6% saved)

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

sample8.5s (50.5%)

Results
6.0s8139×5exit
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.7s
compiled-spec: 1.4s (21.2% of total)
ival-mult: 1.3s (19.1% of total)
ival-sqrt: 1.2s (18.6% of total)
backward-pass: 1.1s (16.7% of total)
ival-div: 677.0ms (10.1% of total)
ival-add: 515.0ms (7.7% of total)
ival-sub: 354.0ms (5.3% of total)
const: 80.0ms (1.2% of total)
Bogosity

preprocess26.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
128×fnmsub-define
128×fmsub-define
128×fnmadd-define
86×fma-define
80×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01735
15130
29330
315730
426430
540830
651530
756130
857330
01211
12910
23710
34510
45310
56610
68310
79710
810910
911010
011010
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))
Outputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Call 2
Inputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x))))))
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x)))))))
(neg (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x))))))))
Outputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x))))))
(- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x)))))))
(- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))
(neg (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x))))))))
(+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1)
Symmetry

(abs x)

explain139.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
00-0-(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
00-0-(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
00-0-(hypot.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
93.0ms512×0valid
Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
compiled-spec: 34.0ms (40.4% of total)
ival-add: 23.0ms (27.4% of total)
ival-mult: 12.0ms (14.3% of total)
ival-sqrt: 8.0ms (9.5% of total)
ival-div: 4.0ms (4.8% of total)
ival-sub: 3.0ms (3.6% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Rules
32×sum3-define
32×+-lowering-+.f64
32×+-lowering-+.f32
18×--lowering--.f32
18×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
11936
22436
33036
43836
55136
66836
78236
89436
99536
09536
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
1
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
Outputs
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
1
#s(literal 1 binary64)
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
x

localize56.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓accuracy98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
38.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
compiled-spec: 9.0ms (38.7% of total)
ival-mult: 4.0ms (17.2% of total)
ival-sqrt: 4.0ms (17.2% of total)
ival-add: 3.0ms (12.9% of total)
ival-div: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
#<alt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (/ 1/2 (sqrt (+ (* 1 1) (* x x))))>
Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
1.0ms
x
@0
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
0.0ms
x
@inf
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
0.0ms
x
@-inf
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
0.0ms
x
@-inf
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))

rewrite255.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
3000×*-lowering-*.f32
3000×*-lowering-*.f64
2846×/-lowering-/.f32
2846×/-lowering-/.f64
1192×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
16730
253830
3653130
0800330
Stop Event
1×iter limit
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))))
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simplify287.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2628×*-lowering-*.f32
2628×*-lowering-*.f64
1676×+-lowering-+.f64
1676×+-lowering-+.f32
1572×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0169619
1503526
21468510
34233508
08069508
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- 1 (sqrt 1/2))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
Outputs
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) #s(literal -5/32 binary64))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) #s(literal -5/32 binary64))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64))))) x)

eval33.0ms (0.2%)

Compiler

Compiled 6769 to 969 computations (85.7% saved)

prune37.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New23313246
Fresh000
Picked011
Done000
Total23314247
Accuracy
100.0%
Counts
247 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
▶100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
0.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
4.4%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
▶97.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
98.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
✓98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
97.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
96.2%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
▶3.1%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶1.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
3.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
▶0.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
4.4%
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
Compiler

Compiled 443 to 258 computations (41.8% saved)

simplify169.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -11/128 binary64))
✓cost-diff0
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
✓cost-diff64
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
✓cost-diff64
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
Rules
2050×fma-lowering-fma.f32
2050×fma-lowering-fma.f64
1828×fma-define
1544×fnmadd-define
1488×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037239
1100224
2296224
3713224
41572224
53103224
63504224
73855224
84422224
96337224
107724224
08046224
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
1
x
(+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(- 1 1)
1
(* x (* x (+ 1/8 (* (* x x) -11/128))))
x
(* x (+ 1/8 (* (* x x) -11/128)))
(+ 1/8 (* (* x x) -11/128))
1/8
(* (* x x) -11/128)
(* x x)
-11/128
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(* x x)
x
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
1/8
(* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))
-11/128
(* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))
(+ 69/1024 (* (* x x) -1843/32768))
69/1024
(* (* x x) -1843/32768)
-1843/32768
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
1
(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
(+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))
1/2
(/ (+ 1/2 (/ -1/4 (* x x))) x)
(+ 1/2 (/ -1/4 (* x x)))
(/ -1/4 (* x x))
-1/4
(* x x)
x
Outputs
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* x (* x (+ 1/8 (* (* x x) -11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))))
x
(* x (+ 1/8 (* (* x x) -11/128)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))))
(+ 1/8 (* (* x x) -11/128))
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64))))
1/8
#s(literal 1/8 binary64)
(* (* x x) -11/128)
(*.f64 x (*.f64 x #s(literal -11/128 binary64)))
(* x x)
(*.f64 x x)
-11/128
#s(literal -11/128 binary64)
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(* x x)
(*.f64 x x)
x
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))))
1/8
#s(literal 1/8 binary64)
(* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))
(+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))
-11/128
#s(literal -11/128 binary64)
(* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))
(*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))
(+ 69/1024 (* (* x x) -1843/32768))
(+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))
69/1024
#s(literal 69/1024 binary64)
(* (* x x) -1843/32768)
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
-1843/32768
#s(literal -1843/32768 binary64)
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
1
#s(literal 1 binary64)
(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))
(+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/2 (/ -1/4 (* x x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(+ 1/2 (/ -1/4 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(/ -1/4 (* x x))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
-1/4
#s(literal -1/4 binary64)
(* x x)
(*.f64 x x)
x

localize410.0ms (2.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))
✓accuracy98.9%
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
✓accuracy98.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -11/128 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
Results
344.0ms255×0valid
0.0ms1×0invalid
Compiler

Compiled 276 to 35 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-add: 192.0ms (80.5% of total)
ival-mult: 16.0ms (6.7% of total)
compiled-spec: 8.0ms (3.4% of total)
ival-div: 7.0ms (2.9% of total)
ival-pow: 5.0ms (2.1% of total)
ival-sub: 4.0ms (1.7% of total)
ival-sqrt: 4.0ms (1.7% of total)
const: 1.0ms (0.4% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.1%)

Counts
22 → 252
Calls
Call 1
Inputs
#<alt (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)))>
#<alt (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2))>
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)>
#<alt (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (- 1 1)>
#<alt (* x (* x (+ 1/8 (* (* x x) -11/128))))>
#<alt (* x (+ 1/8 (* (* x x) -11/128)))>
#<alt (+ 1/8 (* (* x x) -11/128))>
#<alt (* (* x x) -11/128)>
#<alt (* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))>
#<alt (* x x)>
#<alt (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))>
#<alt (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))>
#<alt (- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))>
#<alt (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))>
#<alt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))>
#<alt (/ (+ 1/2 (/ -1/4 (* x x))) x)>
#<alt (/ 1/2 (sqrt (+ (* 1 1) (* x x))))>
#<alt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (* (* x x) -1843/32768)>
#<alt (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))>
#<alt (/ -1/4 (* x x))>
Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt 2>
#<alt (+ 2 (* -1/8 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))>
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* -11/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* -11/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* x (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* x (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* -11/128 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* -11/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))>
#<alt 1/8>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (* -11/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* -11/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (* -1843/32768 (pow x 8))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1843/32768 (pow x 8))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/8>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))>
#<alt (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -11/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1/4)))>
#<alt (/ (- (pow x 2) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1 (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1 (* x (- (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) (sqrt 1/2))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))>
#<alt (* (sqrt (/ 1 (pow x 3))) (sqrt -1/4))>
#<alt (/ (+ (* 1/4 (* (sqrt (pow x 5)) (/ 1 (sqrt -1/4)))) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))) (pow x 2))>
#<alt (/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))) (* x (+ (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))))) (pow x 2))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (- (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (/ -1/4 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (/ -1/4 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))>
#<alt (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))>
#<alt (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))>
#<alt (* -1843/32768 (pow x 4))>
#<alt (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* -1843/32768 (pow x 4))>
#<alt (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* x (* x (+ 1/8 (* (* x x) -11/128))))
2.0ms
x
@inf
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)))
1.0ms
x
@inf
(* x x)
1.0ms
x
@-inf
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
1.0ms
x
@inf
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))

rewrite459.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3960×*-lowering-*.f32
3960×*-lowering-*.f64
2162×fma-lowering-fma.f32
2162×/-lowering-/.f32
2162×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037193
1260181
22447181
08766181
Stop Event
1×iter limit
1×node limit
Counts
22 → 493
Calls
Call 1
Inputs
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)))
(+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(- 1 1)
(* x (* x (+ 1/8 (* (* x x) -11/128))))
(* x (+ 1/8 (* (* x x) -11/128)))
(+ 1/8 (* (* x x) -11/128))
(* (* x x) -11/128)
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(* x x)
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
(* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
(+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))
(/ (+ 1/2 (/ -1/4 (* x x))) x)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(* (* x x) -1843/32768)
(* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))
(/ -1/4 (* x x))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
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(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 x (*.f64 x #s(literal -1843/32768 binary64)))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(*.f64 #s(literal -1843/32768 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1843/32768 binary64)) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 69/1024 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 x (*.f64 x #s(literal 69/1024 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1843/32768 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1843/32768 binary64) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1843/32768 binary64)) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(fma.f64 (*.f64 #s(literal 69/1024 binary64) x) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) x) x (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 328509/1073741824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -6260024107/35184372088832 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 69/1024 binary64))) (*.f64 x (*.f64 x #s(literal 69/1024 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 69/1024 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 69/1024 binary64))) (*.f64 x (*.f64 x #s(literal 69/1024 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal 69/1024 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 328509/1073741824 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -6260024107/35184372088832 binary64)))) (+.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) #s(literal 69/1024 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3396649/1073741824 binary64)))) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal 1843/32768 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 328509/1073741824 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -6260024107/35184372088832 binary64))) (*.f64 x x)) (+.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)) #s(literal 69/1024 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4761/1048576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3396649/1073741824 binary64))) (*.f64 x x)) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal 1843/32768 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(*.f64 (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/4 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1/4 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/4 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/4 binary64) x))
(*.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify365.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4438×*-lowering-*.f32
4438×*-lowering-*.f64
2452×+-lowering-+.f64
2452×+-lowering-+.f32
2034×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03913150
112852632
244732573
081682573
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+ 1 (sqrt 1/2))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* 1/8 x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
(* x (+ 1/8 (* -11/128 (pow x 2))))
(* x (+ 1/8 (* -11/128 (pow x 2))))
(* -11/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 3))
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(+ 1/8 (* -11/128 (pow x 2)))
(+ 1/8 (* -11/128 (pow x 2)))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* -11/128 (pow x 2))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* -1843/32768 (pow x 8))
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -1843/32768 (pow x 8))
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
(* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))
(* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1/4)))
(/ (- (pow x 2) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(/ (- (* (pow x 2) (+ 1 (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(/ (- (* (pow x 2) (+ 1 (* x (- (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(* (sqrt (/ 1 (pow x 3))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (pow x 5)) (/ 1 (sqrt -1/4)))) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))) (pow x 2))
(/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))) (* x (+ (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))))) (pow x 2))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (- (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(/ -1/4 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(/ -1/4 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* 69/1024 (pow x 2))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
(* -1843/32768 (pow x 4))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* -1843/32768 (pow x 4))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
Outputs
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x x))) (+.f64 (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/16 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (/.f64 #s(literal -3/64 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))
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(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) #s(literal -5/32 binary64))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) #s(literal -5/32 binary64))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* -1843/32768 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
(* 69/1024 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 69/1024 binary64))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))
(* -1843/32768 (pow x 4))
(*.f64 #s(literal -1843/32768 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x))
(* -1843/32768 (pow x 4))
(*.f64 #s(literal -1843/32768 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))

eval364.0ms (2.2%)

Compiler

Compiled 23548 to 2578 computations (89.1% saved)

prune308.0ms (1.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New8779886
Fresh178
Picked415
Done011
Total88218900
Accuracy
100.0%
Counts
900 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
▶100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
▶3.2%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
▶97.7%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
▶0.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
4.4%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
✓97.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
98.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
✓98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
97.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
96.2%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
0.9%
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
1.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
0.4%
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
3.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
4.4%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
▶3.1%
#s(literal 0 binary64)
Compiler

Compiled 786 to 367 computations (53.3% saved)

simplify345.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64))))))
✓cost-diff256
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
Rules
2516×+-lowering-+.f64
2516×+-lowering-+.f32
2078×fma-lowering-fma.f32
2078×fma-lowering-fma.f64
1864×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035247
186227
2229227
3571227
41548226
54991226
08415226
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
1
x
(+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
0
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
1
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(* x (* x (+ -1/8 (* (* x x) 11/128))))
x
(* x (+ -1/8 (* (* x x) 11/128)))
(+ -1/8 (* (* x x) 11/128))
-1/8
(* (* x x) 11/128)
(* x x)
11/128
(/ 1/2 (+ 1 (sqrt 1/2)))
1/2
(+ 1 (sqrt 1/2))
1
(sqrt 1/2)
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
1
x
(+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))))
2
(* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))
(* x x)
(+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))
-1/8
(* (* (+ 11/128 (* (* x x) -69/1024)) x) x)
(* (+ 11/128 (* (* x x) -69/1024)) x)
(+ 11/128 (* (* x x) -69/1024))
11/128
(* (* x x) -69/1024)
-69/1024
Outputs
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
0
#s(literal 0 binary64)
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64))))))
(* x (* x (+ -1/8 (* (* x x) 11/128))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))
x
(* x (+ -1/8 (* (* x x) 11/128)))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64))))
(+ -1/8 (* (* x x) 11/128))
(+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))
-1/8
#s(literal -1/8 binary64)
(* (* x x) 11/128)
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* x x)
(*.f64 x x)
11/128
#s(literal 11/128 binary64)
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1 (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))
(+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))
-1/8
#s(literal -1/8 binary64)
(* (* (+ 11/128 (* (* x x) -69/1024)) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))
(* (+ 11/128 (* (* x x) -69/1024)) x)
(*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))
(+ 11/128 (* (* x x) -69/1024))
(+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))
11/128
#s(literal 11/128 binary64)
(* (* x x) -69/1024)
(*.f64 (*.f64 x x) #s(literal -69/1024 binary64))
-69/1024
#s(literal -69/1024 binary64)

localize339.0ms (2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -69/1024 binary64))
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
Results
260.0ms256×0valid
Compiler

Compiled 278 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-add: 90.0ms (61.6% of total)
ival-mult: 31.0ms (21.2% of total)
compiled-spec: 8.0ms (5.5% of total)
ival-div: 7.0ms (4.8% of total)
ival-sqrt: 6.0ms (4.1% of total)
ival-sub: 3.0ms (2.1% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
17 → 168
Calls
Call 1
Inputs
#<alt (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1))>
#<alt (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (/ 1/2 (sqrt (+ (* 1 1) (* x x))))>
#<alt (sqrt (+ (* 1 1) (* x x)))>
#<alt (- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))>
#<alt (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))>
#<alt (* x (* x (+ -1/8 (* (* x x) 11/128))))>
#<alt (* x (+ -1/8 (* (* x x) 11/128)))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))>
#<alt (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)>
#<alt (* (* x x) 11/128)>
#<alt (* (* x x) -69/1024)>
#<alt (* (+ 11/128 (* (* x x) -69/1024)) x)>
#<alt (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)>
Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* -11/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* -11/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* 11/128 (pow x 3))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ -512/69 (pow x 6))>
#<alt (/ (- (* 512/69 (/ 1 x)) 512/69) (pow x 6))>
#<alt (/ (- (* 512/69 (/ 1 x)) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3)))) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))>
#<alt (/ -512/69 (pow x 6))>
#<alt (* -1 (/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6)))>
#<alt (/ (- (* -1 (/ (+ 512/69 (* 45056/4761 (/ 1 x))) x)) 512/69) (pow x 6))>
#<alt (/ (- (* -1 (/ (+ 512/69 (+ (* 45056/4761 (/ 1 x)) (/ 27392/4761 (pow x 2)))) x)) 512/69) (pow x 6))>
#<alt 2>
#<alt (+ 2 (* -1/8 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))>
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* 11/128 x)>
#<alt (* x (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* x (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* x (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* -69/1024 (pow x 3))>
#<alt (* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* -69/1024 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* 11/128 (pow x 2))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* -69/1024 (pow x 4))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* -69/1024 (pow x 4))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* (+ 11/128 (* (* x x) -69/1024)) x)
0.0ms
x
@inf
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
0.0ms
x
@inf
(* (* x x) 11/128)
0.0ms
x
@inf
(* (+ 11/128 (* (* x x) -69/1024)) x)
0.0ms
x
@inf
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))

rewrite511.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
4004×*-lowering-*.f32
4004×*-lowering-*.f64
2142×/-lowering-/.f32
2142×/-lowering-/.f64
2094×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034143
1239130
22264130
08275130
Stop Event
1×iter limit
1×node limit
Counts
17 → 354
Calls
Call 1
Inputs
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1))
(- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(* x (* x (+ -1/8 (* (* x x) 11/128))))
(* x (+ -1/8 (* (* x x) 11/128)))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ 1 (sqrt 1/2))
(sqrt 1/2)
(/ (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))
(+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1)
(* (* x x) 11/128)
(* (* x x) -69/1024)
(* (+ 11/128 (* (* x x) -69/1024)) x)
(* (* (+ 11/128 (* (* x x) -69/1024)) x) x)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))))) (fma.f64 (neg.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))))
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(/.f64 (*.f64 x (-.f64 #s(literal 121/16384 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4761/1048576 binary64)))) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal 69/1024 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1331/2097152 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -328509/1073741824 binary64))) x) (+.f64 #s(literal 121/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)) #s(literal 11/128 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 121/16384 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4761/1048576 binary64))) x) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal 69/1024 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))
(*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1331/2097152 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -328509/1073741824 binary64))) (*.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)) #s(literal 11/128 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 121/16384 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4761/1048576 binary64))) (*.f64 x x)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal 69/1024 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))
(*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) x)

simplify341.0ms (2%)

Algorithm
1×egg-herbie
Rules
4652×*-lowering-*.f32
4652×*-lowering-*.f64
3228×+-lowering-+.f64
3228×+-lowering-+.f32
2206×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03422189
110891861
237091824
085911824
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 x)
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* 11/128 (pow x 2)) 1/8))
(* 11/128 (pow x 3))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ -512/69 (pow x 6))
(/ (- (* 512/69 (/ 1 x)) 512/69) (pow x 6))
(/ (- (* 512/69 (/ 1 x)) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))
(/ (- (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3)))) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))
(/ -512/69 (pow x 6))
(* -1 (/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6)))
(/ (- (* -1 (/ (+ 512/69 (* 45056/4761 (/ 1 x))) x)) 512/69) (pow x 6))
(/ (- (* -1 (/ (+ 512/69 (+ (* 45056/4761 (/ 1 x)) (/ 27392/4761 (pow x 2)))) x)) 512/69) (pow x 6))
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+ 1 (sqrt 1/2))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* 11/128 x)
(* x (+ 11/128 (* -69/1024 (pow x 2))))
(* x (+ 11/128 (* -69/1024 (pow x 2))))
(* x (+ 11/128 (* -69/1024 (pow x 2))))
(* -69/1024 (pow x 3))
(* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* -69/1024 (pow x 3))
(* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))
(* 11/128 (pow x 2))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* -69/1024 (pow x 4))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* -69/1024 (pow x 4))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
Outputs
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x #s(literal 69/1024 binary64))))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
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(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
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eval138.0ms (0.8%)

Compiler

Compiled 22399 to 1942 computations (91.3% saved)

prune104.0ms (0.6%)

Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New6684672
Fresh11011
Picked055
Done022
Total66921690
Accuracy
100.0%
Counts
690 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.7%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))))
▶99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
✓100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
✓3.2%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
▶1.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓97.7%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
4.4%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓0.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
✓97.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
98.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
✓98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
97.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
96.2%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
0.9%
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
1.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
▶0.4%
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
▶3.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
▶4.4%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
✓3.1%
#s(literal 0 binary64)
Compiler

Compiled 1026 to 451 computations (56% saved)

simplify252.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff1152
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
✓cost-diff1152
(/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))))
✓cost-diff1152
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
✓cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))
✓cost-diff256
(-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x)))
✓cost-diff256
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
✓cost-diff64
(+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓cost-diff64
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
✓cost-diff64
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
Rules
4324×*-lowering-*.f32
4324×*-lowering-*.f64
2812×+-lowering-+.f64
2812×+-lowering-+.f32
1274×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069706
1216640
2870639
34670634
08169634
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))
(- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2))
1
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
9/2
(* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)))
(+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
3/2
(+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))
(+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)
3
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)
(* (* x x) 1/8)
(* x x)
x
1/8
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))
(* x x)
x
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))
1/8
(* (* x x) (+ -11/128 (* (* x x) 69/1024)))
(+ -11/128 (* (* x x) 69/1024))
-11/128
(* (* x x) 69/1024)
69/1024
(/ (- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))
(- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x)))
1/2
(+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))
(* (* (+ -1/4 (* x (* x 3/16))) x) x)
(* (+ -1/4 (* x (* x 3/16))) x)
(+ -1/4 (* x (* x 3/16)))
-1/4
(* x (* x 3/16))
x
(* x 3/16)
3/16
(+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))))
2
(* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))
(* x x)
(+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))
-1/8
(* (* (+ 11/128 (* (* x x) -69/1024)) x) x)
(* (+ 11/128 (* (* x x) -69/1024)) x)
(+ 11/128 (* (* x x) -69/1024))
11/128
(* (* x x) -69/1024)
-69/1024
(* (* x x) (/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))))
(* x x)
x
(/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))))
(+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))))
1/512
(* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))
-11/128
(* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))
(+ 69/1024 (* (* x x) -1843/32768))
69/1024
(* (* x x) -1843/32768)
-1843/32768
(* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
(+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
1/64
(* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(* (* x x) 1/8)
1/8
Outputs
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))))
(- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)))
1
#s(literal 1 binary64)
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
x
9/2
#s(literal 9/2 binary64)
(* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
(* (* x x) 1/8)
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* x x)
(*.f64 x x)
x
1/8
#s(literal 1/8 binary64)
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))
1/8
#s(literal 1/8 binary64)
(* (* x x) (+ -11/128 (* (* x x) 69/1024)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))
(+ -11/128 (* (* x x) 69/1024))
(+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))
-11/128
#s(literal -11/128 binary64)
(* (* x x) 69/1024)
(*.f64 (*.f64 x x) #s(literal 69/1024 binary64))
69/1024
#s(literal 69/1024 binary64)
(/ (- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64))))))
(* (* (+ -1/4 (* x (* x 3/16))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))))
(* (+ -1/4 (* x (* x 3/16))) x)
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))))
(+ -1/4 (* x (* x 3/16)))
(+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64))))
-1/4
#s(literal -1/4 binary64)
(* x (* x 3/16))
(*.f64 x (*.f64 x #s(literal 3/16 binary64)))
x
(* x 3/16)
(*.f64 x #s(literal 3/16 binary64))
3/16
#s(literal 3/16 binary64)
(+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))))
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x))
(+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))
-1/8
#s(literal -1/8 binary64)
(* (* (+ 11/128 (* (* x x) -69/1024)) x) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))
(* (+ 11/128 (* (* x x) -69/1024)) x)
(*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))
(+ 11/128 (* (* x x) -69/1024))
(+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))
11/128
#s(literal 11/128 binary64)
(* (* x x) -69/1024)
(*.f64 (*.f64 x x) #s(literal -69/1024 binary64))
-69/1024
#s(literal -69/1024 binary64)
(* (* x x) (/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))))))
(* x x)
(*.f64 x x)
x
(/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))))))
(+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))))
(+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))
1/512
#s(literal 1/512 binary64)
(* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(*.f64 (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))
(+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))
-11/128
#s(literal -11/128 binary64)
(* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))
(*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))
(+ 69/1024 (* (* x x) -1843/32768))
(+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))
69/1024
#s(literal 69/1024 binary64)
(* (* x x) -1843/32768)
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
-1843/32768
#s(literal -1843/32768 binary64)
(* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
(*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (*.f64 x x)))
(+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))
(+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 11/1024 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal 1/8 binary64))))))
1/64
#s(literal 1/64 binary64)
(* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/1024 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal 1/8 binary64)))))
(* (* x x) 1/8)
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)

localize520.0ms (3.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))
✓accuracy6.4%
(/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 3/16 binary64)))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -69/1024 binary64))
✓accuracy19.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 69/1024 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
✓accuracy99.9%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
✓accuracy99.9%
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
✓accuracy99.9%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))
Results
294.0ms256×0valid
Compiler

Compiled 1014 to 68 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 57.0ms (36.4% of total)
ival-pow: 32.0ms (20.4% of total)
compiled-spec: 31.0ms (19.8% of total)
ival-add: 20.0ms (12.8% of total)
ival-div: 7.0ms (4.5% of total)
ival-sub: 6.0ms (3.8% of total)
const: 2.0ms (1.3% of total)
ival-sqrt: 2.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.2%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))>
#<alt (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)))>
#<alt (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)>
#<alt (* (* x x) 1/8)>
#<alt (* x x)>
#<alt (* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))>
#<alt (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))>
#<alt (* (* x x) (+ -11/128 (* (* x x) 69/1024)))>
#<alt (/ (- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))>
#<alt (- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x)))>
#<alt (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))>
#<alt (* (* (+ -1/4 (* x (* x 3/16))) x) x)>
#<alt (* (* x x) (/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))))>
#<alt (/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))))>
#<alt (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))>
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)>
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)>
#<alt (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))>
#<alt (* (* x x) 69/1024)>
#<alt (* (* x x) -69/1024)>
#<alt (* (+ -1/4 (* x (* x 3/16))) x)>
#<alt (* x (* x 3/16))>
#<alt (* (* x x) -1843/32768)>
#<alt (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))>
#<alt (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))>
Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ (- 1 (sqrt 1/512)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1 (/ (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))>
#<alt (- (+ (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (pow x 2) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ 9/1024 (* x (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow x 2) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* x (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))>
#<alt (- (+ (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* (pow x 3) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (* (pow x 3) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (pow x 2) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ 9/1024 (* x (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ (* -1/32 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (+ (* (+ 9/8 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (+ 3/2 (sqrt 1/2)) (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16))))) (- 1 (sqrt 1/512))) (* (pow x 3) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow x 2) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* x (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))))))))))>
#<alt (/ (- 1 (sqrt 1/512)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (/ 9/1024 (* x (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* x (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ (* -1/32 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (+ (* (+ 9/8 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (+ 3/2 (sqrt 1/2)) (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) x)) (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))>
#<alt 9>
#<alt (+ 9 (* -9/2 (pow x 2)))>
#<alt (+ 9 (* (pow x 2) (- (* 141/32 (pow x 2)) 9/2)))>
#<alt (+ 9 (* (pow x 2) (- (* (pow x 2) (+ 141/32 (* -573/128 (pow x 2)))) 9/2)))>
#<alt (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))>
#<alt (+ (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) x) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))) x)))>
#<alt (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow x 2)) (+ (/ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) x) (+ (/ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (pow x 2)) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))) x))))))>
#<alt (+ (* -1/32 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow x 2)) (+ (/ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) x) (+ (/ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow x 3)) (+ (/ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (pow x 2)) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))) x) (+ (/ (* (+ 9/8 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)) (/ (* (+ 3/2 (sqrt 1/2)) (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16)) (pow x 3)))))))))))>
#<alt (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) x)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) x)) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) x)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (+ (* (+ 9/8 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (+ 3/2 (sqrt 1/2)) (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16))))) x)) (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2)))))) x)) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) x)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))>
#<alt 3>
#<alt (+ 3 (* -3/8 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))>
#<alt (+ 3/2 (sqrt 1/2))>
#<alt (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))>
#<alt (- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))))>
#<alt (+ 3/2 (sqrt 1/2))>
#<alt (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x))))>
#<alt (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))))) x))))>
#<alt (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4) x)) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2))))) x))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt 1/8>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))>
#<alt (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* -11/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* -11/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (* 237/32768 (pow x 2)) 11/1024)) 11/128))))>
#<alt (/ 64/23 (pow x 2))>
#<alt (/ (- 64/23 (* 256/1587 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 64/23 (* -1 (/ (+ 256/1587 (* 587776/109503 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 64/23 (* 574570496/7555707 (/ 1 (pow x 6)))) (+ (* 256/1587 (/ 1 (pow x 2))) (/ 587776/109503 (pow x 4)))) (pow x 2))>
#<alt (/ 64/23 (pow x 2))>
#<alt (/ (- 64/23 (* 256/1587 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 64/23 (* -1 (/ (+ 256/1587 (* 587776/109503 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 64/23 (* 574570496/7555707 (/ 1 (pow x 6)))) (+ (* 256/1587 (/ 1 (pow x 2))) (/ 587776/109503 (pow x 4)))) (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* -3/16 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))>
#<alt (* -3/16 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (* 3/16 (pow x 4))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 3/16 (pow x 4))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))>
#<alt (* 3/16 (pow x 4))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 3/16 (pow x 4))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (* -1843/32768 (pow x 8))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1843/32768 (pow x 8))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt 1/8>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))>
#<alt (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt 1/64>
#<alt (+ 1/64 (* 11/1024 (pow x 2)))>
#<alt (+ 1/64 (* (pow x 2) (+ 11/1024 (* -17/16384 (pow x 2)))))>
#<alt (+ 1/64 (* (pow x 2) (+ 11/1024 (* (pow x 2) (- (* -1193/262144 (pow x 2)) 17/16384)))))>
#<alt (* 3396649/1073741824 (pow x 12))>
#<alt (* (pow x 12) (- 3396649/1073741824 (* 127167/16777216 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (* 127167/16777216 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (+ (* 127167/16777216 (/ 1 (pow x 2))) (* 1193/262144 (/ 1 (pow x 6))))))>
#<alt (* 3396649/1073741824 (pow x 12))>
#<alt (* (pow x 12) (- 3396649/1073741824 (* 127167/16777216 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (* 127167/16777216 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (+ (* 127167/16777216 (/ 1 (pow x 2))) (* 1193/262144 (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -9/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 171/128 (pow x 2)) 9/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 171/128 (* -1581/1024 (pow x 2)))) 9/8)))>
#<alt (sqrt 1/512)>
#<alt (+ (sqrt 1/512) (* 9/1024 (/ 1 (* x (sqrt 1/512)))))>
#<alt (+ (sqrt 1/512) (+ (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (sqrt 1/512)))) (/ 9/1024 (* x (sqrt 1/512)))))>
#<alt (+ (sqrt 1/512) (+ (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (sqrt 1/512)))) (+ (* 1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* (pow x 3) (sqrt 1/512)))) (/ 9/1024 (* x (sqrt 1/512))))))>
#<alt (sqrt 1/512)>
#<alt (- (sqrt 1/512) (* 9/1024 (/ 1 (* x (sqrt 1/512)))))>
#<alt (+ (sqrt 1/512) (* -1 (/ (+ (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* x (sqrt 1/512)))) (* 9/1024 (/ 1 (sqrt 1/512)))) x)))>
#<alt (+ (sqrt 1/512) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* x (sqrt 1/512)))) (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (sqrt 1/512)))) x)) (* 9/1024 (/ 1 (sqrt 1/512)))) x)))>
#<alt 1>
#<alt (+ 1 (* -3/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/4 (pow x 2)) 3/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/4 (* -49/64 (pow x 2)))) 3/4)))>
#<alt 1/8>
#<alt (+ 1/8 (* 3/8 (/ 1 x)))>
#<alt (+ 1/8 (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x))))>
#<alt (- (+ 1/8 (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x)))) (* 1/16 (/ 1 (pow x 3))))>
#<alt 1/8>
#<alt (- 1/8 (* 3/8 (/ 1 x)))>
#<alt (+ 1/8 (* -1 (/ (- 3/8 (* 3/8 (/ 1 x))) x)))>
#<alt (+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (+ 3/8 (* 1/16 (/ 1 x))) x))) x)))>
#<alt 3>
#<alt (+ 3 (* -9/8 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 135/128 (pow x 2)) 9/8)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 135/128 (* -1059/1024 (pow x 2)))) 9/8)))>
#<alt (+ 9/8 (sqrt 1/8))>
#<alt (+ 9/8 (+ (sqrt 1/8) (+ (/ 3/16 (* x (sqrt 1/8))) (* 3/8 (/ 1 x)))))>
#<alt (+ 9/8 (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (+ (/ 3/16 (* x (sqrt 1/8))) (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x)))))))>
#<alt (- (+ 9/8 (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (+ (/ 3/16 (* x (sqrt 1/8))) (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x)))))))) (* 1/16 (/ 1 (pow x 3))))>
#<alt (+ 9/8 (sqrt 1/8))>
#<alt (+ 9/8 (+ (sqrt 1/8) (* -1 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) x))))>
#<alt (+ 9/8 (+ (sqrt 1/8) (* -1 (/ (+ 3/8 (+ (* -1 (/ (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8))))) x))))>
#<alt (+ 9/8 (+ (sqrt 1/8) (* -1 (/ (+ 3/8 (+ (* -1 (/ (+ 3/8 (+ (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16) x)) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) x)) (* 3/16 (/ 1 (sqrt 1/8))))) x))))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 3/16 (pow x 2)) 1/4))>
#<alt (* x (- (* 3/16 (pow x 2)) 1/4))>
#<alt (* x (- (* 3/16 (pow x 2)) 1/4))>
#<alt (* 3/16 (pow x 3))>
#<alt (* (pow x 3) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 3/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 3/16)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 3/16)))>
#<alt (* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 3/16)))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* 3/16 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -1843/32768 (pow x 2))>
#<alt (* -11/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -1843/32768 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))>
#<alt (* -11/1024 (pow x 2))>
#<alt (* (pow x 2) (- (* 69/8192 (pow x 2)) 11/1024))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 69/8192 (* -1843/262144 (pow x 2)))) 11/1024))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 69/8192 (* -1843/262144 (pow x 2)))) 11/1024))>
#<alt (* -1843/262144 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) 1843/262144))>
#<alt (* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))>
#<alt (* -1843/262144 (pow x 6))>
#<alt (* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) 1843/262144))>
#<alt (* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))>
Calls

78 calls:

TimeVariablePointExpression
12.0ms
x
@inf
(* x (* x 3/16))
5.0ms
x
@inf
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))
1.0ms
x
@inf
(+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
1.0ms
x
@0
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))
1.0ms
x
@-inf
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))

rewrite366.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3146×*-lowering-*.f32
3146×*-lowering-*.f64
1802×+-lowering-+.f64
1802×+-lowering-+.f32
1792×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069444
1511402
25169402
08041402
Stop Event
1×iter limit
1×node limit
Counts
26 → 410
Calls
Call 1
Inputs
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)) (* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))))
(* (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)))
(+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(* (* x x) 1/8)
(* x x)
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))
(* (* x x) (+ -11/128 (* (* x x) 69/1024)))
(/ (- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))) (+ 2 (* (* x x) (+ -1/8 (* (* (+ 11/128 (* (* x x) -69/1024)) x) x)))))
(- 1/2 (+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x)))
(+ 1/2 (* (* (+ -1/4 (* x (* x 3/16))) x) x))
(* (* (+ -1/4 (* x (* x 3/16))) x) x)
(* (* x x) (/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))))
(/ (+ 1/512 (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))) (+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))))))
(+ (* (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768))))) (* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))) (- 1/64 (* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 9/2)
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)
(+ (+ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3)) (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))
(* (* x x) 69/1024)
(* (* x x) -69/1024)
(* (+ -1/4 (* x (* x 3/16))) x)
(* x (* x 3/16))
(* (* x x) -1843/32768)
(* (* x x) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
(* (* (* x x) 1/8) (+ -11/128 (* (* x x) (+ 69/1024 (* (* x x) -1843/32768)))))
Outputs
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
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simplify423.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4366×*-lowering-*.f32
4366×*-lowering-*.f64
4018×+-lowering-+.f64
4018×+-lowering-+.f32
2238×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06535985
120564827
082064827
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ (- 1 (sqrt 1/512)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
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(/ (- 1 (sqrt 1/512)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))
(- (+ (/ 9/1024 (* x (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* x (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
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9
(+ 9 (* -9/2 (pow x 2)))
(+ 9 (* (pow x 2) (- (* 141/32 (pow x 2)) 9/2)))
(+ 9 (* (pow x 2) (- (* (pow x 2) (+ 141/32 (* -573/128 (pow x 2)))) 9/2)))
(* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (+ (* (+ 9/8 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (+ 3/2 (sqrt 1/2)) (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16))))) x)) (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2)))))) x)) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) x)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))
3
(+ 3 (* -3/8 (pow x 2)))
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(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
(+ 3/2 (sqrt 1/2))
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(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))))
(+ 3/2 (sqrt 1/2))
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1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
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(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* 69/1024 (pow x 6))
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(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
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(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(* 69/1024 (pow x 4))
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(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
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(* -11/128 (pow x 2))
(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
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(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
(* 69/1024 (pow x 4))
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(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 4))
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(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
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(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* -11/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (* 237/32768 (pow x 2)) 11/1024)) 11/128))))
(/ 64/23 (pow x 2))
(/ (- 64/23 (* 256/1587 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 64/23 (* -1 (/ (+ 256/1587 (* 587776/109503 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))
(/ (- (+ 64/23 (* 574570496/7555707 (/ 1 (pow x 6)))) (+ (* 256/1587 (/ 1 (pow x 2))) (/ 587776/109503 (pow x 4)))) (pow x 2))
(/ 64/23 (pow x 2))
(/ (- 64/23 (* 256/1587 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 64/23 (* -1 (/ (+ 256/1587 (* 587776/109503 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 2))
(/ (- (+ 64/23 (* 574570496/7555707 (/ 1 (pow x 6)))) (+ (* 256/1587 (/ 1 (pow x 2))) (/ 587776/109503 (pow x 4)))) (pow x 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* -3/16 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))
(* -3/16 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 3/16))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
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(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(* 3/16 (pow x 4))
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))
(* 3/16 (pow x 4))
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/16 (/ 1/2 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))
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(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* 1/8 (pow x 2))
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(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* -1843/32768 (pow x 8))
(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
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(* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
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(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
1/64
(+ 1/64 (* 11/1024 (pow x 2)))
(+ 1/64 (* (pow x 2) (+ 11/1024 (* -17/16384 (pow x 2)))))
(+ 1/64 (* (pow x 2) (+ 11/1024 (* (pow x 2) (- (* -1193/262144 (pow x 2)) 17/16384)))))
(* 3396649/1073741824 (pow x 12))
(* (pow x 12) (- 3396649/1073741824 (* 127167/16777216 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (* 127167/16777216 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (+ (* 127167/16777216 (/ 1 (pow x 2))) (* 1193/262144 (/ 1 (pow x 6))))))
(* 3396649/1073741824 (pow x 12))
(* (pow x 12) (- 3396649/1073741824 (* 127167/16777216 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (* 127167/16777216 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 3396649/1073741824 (/ 29795/2097152 (pow x 4))) (+ (* 127167/16777216 (/ 1 (pow x 2))) (* 1193/262144 (/ 1 (pow x 6))))))
1
(+ 1 (* -9/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 171/128 (pow x 2)) 9/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 171/128 (* -1581/1024 (pow x 2)))) 9/8)))
(sqrt 1/512)
(+ (sqrt 1/512) (* 9/1024 (/ 1 (* x (sqrt 1/512)))))
(+ (sqrt 1/512) (+ (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (sqrt 1/512)))) (/ 9/1024 (* x (sqrt 1/512)))))
(+ (sqrt 1/512) (+ (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (sqrt 1/512)))) (+ (* 1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* (pow x 3) (sqrt 1/512)))) (/ 9/1024 (* x (sqrt 1/512))))))
(sqrt 1/512)
(- (sqrt 1/512) (* 9/1024 (/ 1 (* x (sqrt 1/512)))))
(+ (sqrt 1/512) (* -1 (/ (+ (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* x (sqrt 1/512)))) (* 9/1024 (/ 1 (sqrt 1/512)))) x)))
(+ (sqrt 1/512) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* x (sqrt 1/512)))) (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (sqrt 1/512)))) x)) (* 9/1024 (/ 1 (sqrt 1/512)))) x)))
1
(+ 1 (* -3/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/4 (pow x 2)) 3/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/4 (* -49/64 (pow x 2)))) 3/4)))
1/8
(+ 1/8 (* 3/8 (/ 1 x)))
(+ 1/8 (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x))))
(- (+ 1/8 (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x)))) (* 1/16 (/ 1 (pow x 3))))
1/8
(- 1/8 (* 3/8 (/ 1 x)))
(+ 1/8 (* -1 (/ (- 3/8 (* 3/8 (/ 1 x))) x)))
(+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (+ 3/8 (* 1/16 (/ 1 x))) x))) x)))
3
(+ 3 (* -9/8 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 135/128 (pow x 2)) 9/8)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 135/128 (* -1059/1024 (pow x 2)))) 9/8)))
(+ 9/8 (sqrt 1/8))
(+ 9/8 (+ (sqrt 1/8) (+ (/ 3/16 (* x (sqrt 1/8))) (* 3/8 (/ 1 x)))))
(+ 9/8 (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (+ (/ 3/16 (* x (sqrt 1/8))) (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x)))))))
(- (+ 9/8 (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (+ (/ 3/16 (* x (sqrt 1/8))) (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x)))))))) (* 1/16 (/ 1 (pow x 3))))
(+ 9/8 (sqrt 1/8))
(+ 9/8 (+ (sqrt 1/8) (* -1 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) x))))
(+ 9/8 (+ (sqrt 1/8) (* -1 (/ (+ 3/8 (+ (* -1 (/ (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8))))) x))))
(+ 9/8 (+ (sqrt 1/8) (* -1 (/ (+ 3/8 (+ (* -1 (/ (+ 3/8 (+ (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16) x)) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))))) x)) (* 3/16 (/ 1 (sqrt 1/8))))) x))))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
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(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
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(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
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(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -1/4 x)
(* x (- (* 3/16 (pow x 2)) 1/4))
(* x (- (* 3/16 (pow x 2)) 1/4))
(* x (- (* 3/16 (pow x 2)) 1/4))
(* 3/16 (pow x 3))
(* (pow x 3) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* 3/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 3/16)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 3/16)))
(* -1 (* (pow x 3) (- (* 1/4 (/ 1 (pow x 2))) 3/16)))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* 3/16 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
(* -1843/32768 (pow x 2))
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(* -1843/32768 (pow x 2))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
(* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))
(* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -1843/32768 (pow x 6))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))
(* -11/1024 (pow x 2))
(* (pow x 2) (- (* 69/8192 (pow x 2)) 11/1024))
(* (pow x 2) (- (* (pow x 2) (+ 69/8192 (* -1843/262144 (pow x 2)))) 11/1024))
(* (pow x 2) (- (* (pow x 2) (+ 69/8192 (* -1843/262144 (pow x 2)))) 11/1024))
(* -1843/262144 (pow x 6))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) 1843/262144))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))
(* -1843/262144 (pow x 6))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) 1843/262144))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))
Outputs
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(/ (- 1 (sqrt 1/512)) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/512 binary64))) (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ (* -1 (/ (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/512 binary64))) (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 9/1024 binary64) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/512 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/512 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (neg.f64 x)))
(- (+ (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (pow x 2) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ 9/1024 (* x (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow x 2) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* x (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -63/4096 binary64) (*.f64 (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/512 binary64)))))) (-.f64 (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/512 binary64)) (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/512 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64))))))) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x))) (/.f64 (/.f64 (/.f64 #s(literal 9/1024 binary64) x) (*.f64 (sqrt.f64 #s(literal 1/512 binary64)) (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 9/1024 binary64) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/512 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/512 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))))))
(- (+ (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (pow x 2) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* (pow x 3) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))))) (/ 1 (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (* (pow x 3) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (pow x 2) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ 9/1024 (* x (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (/ (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ (* -1/32 (/ (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (+ (* (+ 9/8 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (+ 3/2 (sqrt 1/2)) (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 1/16))))) (- 1 (sqrt 1/512))) (* (pow x 3) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow x 2) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* x (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- (* -1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ (* 9/1024 (/ 1 (* (sqrt 1/512) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8)))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 9/8 (sqrt 1/8))))) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2))))) (/ (* (+ (* -1/32 (/ (+ 9/8 (sqrt 1/8)) (pow (sqrt 1/2) 3))) (+ (* (+ 3/8 (* 3/16 (/ 1 (sqrt 1/8)))) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* (+ 3/8 (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ 3/2 (sqrt 1/2))))) (- 1 (sqrt 1/512))) (* (pow (+ 9/8 (sqrt 1/8)) 2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (* (+ 9/8 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))))))))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -69/8192 binary64) (*.f64 (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 1/512 binary64))))))) (-.f64 (/.f64 #s(literal -63/4096 binary64) (*.f64 (*.f64 (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/512 binary64))))) (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/512 binary64)) (+.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 9/1024 binary64) x) (*.f64 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9
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1843/262144 binary64) (/.f64 #s(literal 69/8192 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 69/8192 binary64) (*.f64 x x)) (-.f64 #s(literal -1843/262144 binary64) (/.f64 #s(literal 11/1024 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (- (* 69/8192 (/ 1 (pow x 2))) (+ 1843/262144 (/ 11/1024 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 69/8192 binary64) (*.f64 x x)) (-.f64 #s(literal -1843/262144 binary64) (/.f64 #s(literal 11/1024 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval231.0ms (1.4%)

Compiler

Compiled 118542 to 3551 computations (97% saved)

prune140.0ms (0.8%)

Pruning

37 alts after pruning (27 fresh and 10 done)

PrunedKeptTotal
New1360181378
Fresh099
Picked235
Done077
Total1362371399
Accuracy
100.0%
Counts
1399 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
1.2%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
0.7%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))))
99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))) (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)))))
99.4%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
1.5%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓100.0%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
✓3.2%
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.7%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.5%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
✓1.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
1.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.8%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.7%
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
1.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
1.0%
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
1.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
1.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
4.4%
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
1.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
✓97.7%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
4.4%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓0.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
✓97.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
98.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
✓98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
97.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
96.2%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
1.4%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
1.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
0.9%
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
1.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
0.8%
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
✓3.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
✓4.4%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
✓3.1%
#s(literal 0 binary64)
Compiler

Compiled 2972 to 926 computations (68.8% saved)

regimes92.0ms (0.5%)

Counts
46 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64))) (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 9/2 binary64)))))
Outputs
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
Calls

7 calls:

13.0ms
(hypot.f64 #s(literal 1 binary64) x)
13.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms
x
12.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
11.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%1(hypot.f64 #s(literal 1 binary64) x)
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes86.0ms (0.5%)

Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
Calls

7 calls:

12.0ms
(hypot.f64 #s(literal 1 binary64) x)
12.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms
x
11.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
9.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.4%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.4%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.4%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.4%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.4%1(hypot.f64 #s(literal 1 binary64) x)
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes20.0ms (0.1%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.1%)

Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))))
Outputs
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
96.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal -11/128 binary64)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) #s(literal 69/1024 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/128 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))))))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/16 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/16 binary64))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x #s(literal -69/1024 binary64)) x)) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal 3/16 binary64)))) x) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/16 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/256 binary64))) x) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 27/4096 binary64))) x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))))) x))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/16 binary64))))))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))))))
Outputs
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
4.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/.f64 #s(literal 64/23 binary64) (*.f64 x x))
Outputs
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
4.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
112×unsub-neg_binary64
92×neg-mul-1_binary64
70×+-commutative_binary64
64×*-commutative_binary64
48×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043109
172109
2102109
3137109
4171109
5240109
6355109
7382109
8398109
9401109
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 0 binary64)
Outputs
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
#s(literal 0 binary64)

soundness1.3s (7.8%)

Rules
4438×*-lowering-*.f32
4438×*-lowering-*.f64
3960×*-lowering-*.f32
3960×*-lowering-*.f64
3000×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03913150
112852632
244732573
081682573
01211
12910
23710
34510
45310
56610
68310
79710
810910
911010
011010
0169619
1503526
21468510
34233508
08069508
01130
16730
253830
3653130
0800330
037193
1260181
22447181
08766181
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 268 to 159 computations (40.7% saved)

preprocess55.0ms (0.3%)

Remove

(abs x)

Compiler

Compiled 436 to 206 computations (52.8% saved)

end0.0ms (0%)

Profiling

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