Given's Rotation SVD example, simplified

Time bar (total: 17.8s)

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)

sample8.7s (48.7%)

Results
6.3s7896×5exit
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 7.2s
compiled-spec: 1.6s (21.9% of total)
ival-sqrt: 1.3s (18.3% of total)
ival-mult: 1.2s (16.8% of total)
backward-pass: 1.1s (15.1% of total)
ival-div: 864.0ms (12% of total)
ival-add: 665.0ms (9.3% of total)
ival-sub: 397.0ms (5.5% of total)
const: 76.0ms (1.1% of total)
Bogosity

preprocess51.0ms (0.3%)

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)

explain127.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(-.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
81.0ms512×0valid
Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
compiled-spec: 19.0ms (35.6% of total)
ival-mult: 13.0ms (24.4% of total)
ival-sqrt: 8.0ms (15% of total)
ival-add: 5.0ms (9.4% of total)
ival-div: 4.0ms (7.5% of total)
ival-sub: 3.0ms (5.6% of total)
const: 1.0ms (1.9% 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

localize50.0ms (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%
(/.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))))
✓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
37.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
compiled-spec: 10.0ms (39% of total)
ival-mult: 6.0ms (23.4% of total)
ival-sqrt: 4.0ms (15.6% of total)
ival-add: 3.0ms (11.7% of total)
ival-div: 2.0ms (7.8% of total)
ival-sub: 1.0ms (3.9% 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))))))

rewrite327.0ms (1.8%)

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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simplify254.0ms (1.4%)

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)

eval66.0ms (0.4%)

Compiler

Compiled 6769 to 969 computations (85.7% saved)

prune81.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New22917246
Fresh000
Picked011
Done000
Total22918247
Accuracy
100.0%
Counts
247 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (*.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 (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 (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)))))))))
98.5%
(/.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 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 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
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 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)))))
99.9%
(/.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))))
▶98.4%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.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)))))))
3.9%
(-.f64 #s(literal 1 binary64) (+.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))))))))
▶1.1%
(-.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)))))))
4.5%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))
97.2%
(-.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))))
97.3%
(-.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)))))
97.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
▶95.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
▶3.1%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1.3%
(*.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))))))))
3.9%
(*.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))))))
1.1%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))))
4.5%
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
Compiler

Compiled 929 to 366 computations (60.6% saved)

simplify231.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.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 binary64) (+.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 binary64) (+.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) (/.f64 #s(literal 1 binary64) (sqrt.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)))))))
✓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 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-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff13312
(*.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 (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))))))
✓cost-diff19968
(-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64)))
✓cost-diff40064
(+.f64 (*.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 #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 (*.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 (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 (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))))))))
✓cost-diff40192
(+.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 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 (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 (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)))))))
Rules
4270×+-lowering-+.f64
4270×+-lowering-+.f32
2802×*-lowering-*.f32
2802×*-lowering-*.f64
1364×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042707
1114673
2285570
3877539
43696505
08284505
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 3)) (+ (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 3))
(pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3)
(/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(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)))
x
(+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
3/2
3
(pow (/ (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))))))) 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))))) 3/2)
(+ (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ 1 (+ (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))))) 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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))) 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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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 1)
1
(- 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 (sqrt 1/2))
1
(sqrt 1/2)
1/2
(- 1 (/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))))
1
(/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(sqrt (/ 1 (+ 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)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
Outputs
(/ (- (pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 3)) (+ (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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)))))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64))) (-.f64 #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 3/2 binary64)) #s(literal 3 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 (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 (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)) (+.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))))))
(- (pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 3))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64))) (-.f64 #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 3/2 binary64)) #s(literal 3 binary64))))
(pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3)
(/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))
(/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(/.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))))
1
#s(literal 1 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))))
(+ 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
(+ 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)
3
#s(literal 3 binary64)
(pow (/ (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))))))) 3)
(pow.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 (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)))) #s(literal 3 binary64))
(/ (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)))))))
(/.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 (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))))) 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))
(+ (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))))))))
(*.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 (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 (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)) (+.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)))))
(* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/.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 (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))))) 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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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)))))))))
(/.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)) (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))) (*.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 (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))))) 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))))) 3/2) (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/.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 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 (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))))))
(/.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 (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 (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 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(- 1 (+ 1 (* 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)))))
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(+.f64 #s(literal 1 binary64) (*.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 (*.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)
(- 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
#s(literal 1/2 binary64)
(- 1 (/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.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)))))))
1
#s(literal 1 binary64)
(/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/.f64 #s(literal 1 binary64) (sqrt.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))))))
(sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(sqrt.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)))))
(/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* 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))))
(+ 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

localize436.0ms (2.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.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)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (sqrt.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))))))
✓accuracy98.4%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.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)))))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy99.9%
(-.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)))))))
✓accuracy99.8%
(*.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))
✓accuracy98.5%
(/.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)))))
✓accuracy98.5%
(*.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 #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))))))
✓accuracy98.5%
(pow.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))))) #s(literal 3 binary64))
✓accuracy98.5%
(pow.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))))) #s(literal 3 binary64))
Results
318.0ms256×0valid
Compiler

Compiled 935 to 40 computations (95.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 33.0ms (34.4% of total)
ival-pow: 17.0ms (17.7% of total)
ival-div: 12.0ms (12.5% of total)
ival-add: 11.0ms (11.5% of total)
compiled-spec: 10.0ms (10.4% of total)
ival-sub: 6.0ms (6.3% of total)
ival-sqrt: 6.0ms (6.3% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series87.0ms (0.5%)

Counts
20 → 204
Calls
Call 1
Inputs
#<alt (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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)))))))))>
#<alt (+ (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))))))))>
#<alt (- (pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 3))>
#<alt (* (/ (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))))) 3/2) (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (- 1 1)>
#<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 (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (- 1 (/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))))>
#<alt (/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
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#<alt (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))>
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#<alt (* (* x x) 11/128)>
Outputs
#<alt 2/9>
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#<alt (+ 2/9 (* (pow x 2) (- (* 193/3456 (pow x 2)) 5/72)))>
#<alt (+ 2/9 (* (pow x 2) (- (* (pow x 2) (+ 193/3456 (* -1355/27648 (pow x 2)))) 5/72)))>
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#<alt (+ (* 1/8 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))>
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#<alt 1/3>
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#<alt (* 11/128 (pow x 2))>
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#<alt (* 11/128 (pow x 2))>
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#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
Calls

51 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
(pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3)
12.0ms
x
@inf
(- (pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 3))
6.0ms
x
@-inf
(+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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)))))))))
6.0ms
x
@inf
(+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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)))))))))
4.0ms
x
@inf
(+ (* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))))))))

rewrite486.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3142×*-lowering-*.f32
3142×*-lowering-*.f64
2234×fma-lowering-fma.f32
2234×fma-lowering-fma.f64
1714×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041414
1320342
23514342
08204342
Stop Event
1×iter limit
1×node limit
Counts
20 → 564
Calls
Call 1
Inputs
(+ (* (/ (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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ 1 (+ (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))))) 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))))) 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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (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 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3) (pow (/ (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))))))) 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))))) 3/2) (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(- 1 1)
(- 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 (sqrt 1/2))
(sqrt 1/2)
(- 1 (/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))))
(/ 1 (sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(sqrt (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(pow (/ 1 (+ (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) 3)
(pow (/ (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))))))) 3)
(* (/ 1 (+ (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))))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/ (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)))))))
(* (* x x) 11/128)
Outputs
(+.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 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 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 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal 4 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 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))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 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 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal -4 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 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))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)))))
(fma.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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 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 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(fma.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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(fma.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)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal -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 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(fma.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.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 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(fma.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 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) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.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 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.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 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.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 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(fma.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal -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 3/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
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(*.f64 x (*.f64 x #s(literal 11/128 binary64)))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(*.f64 #s(literal 11/128 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 11/128 binary64)) x)

simplify452.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3204×+-lowering-+.f64
3204×+-lowering-+.f32
3058×*-lowering-*.f32
3058×*-lowering-*.f64
2040×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116515673
1420014303
0813714303
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
2/9
(+ 2/9 (* -5/72 (pow x 2)))
(+ 2/9 (* (pow x 2) (- (* 193/3456 (pow x 2)) 5/72)))
(+ 2/9 (* (pow x 2) (- (* (pow x 2) (+ 193/3456 (* -1355/27648 (pow x 2)))) 5/72)))
(+ (* 1/8 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))
(- (+ (* -2 (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 1/8 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ 3/16 (* x (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 3/8 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* 1/4 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))))
(- (+ (* -2 (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* -3/8 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 3))))) (+ (* 1/8 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 3/8 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/8 (/ 1 (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)) (/ (* (sqrt 1/8) (- (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))))) (pow x 2)))))))))) (+ (* 1/8 (/ (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 1/4 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/8 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (* 1/4 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 3))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))))))
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1/3
(+ 1/3 (* -1/24 (pow x 2)))
(+ 1/3 (* (pow x 2) (- (* 47/1152 (pow x 2)) 1/24)))
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1/9
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1
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(* -1/8 (pow x 2))
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(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
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(- 1 (sqrt 1/2))
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(- 1 (sqrt 1/2))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
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(- (+ 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
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(sqrt 1/2)
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(sqrt 1/2)
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1
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(sqrt 2)
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(sqrt 2)
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1
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2
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2
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1/27
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(/ 1 (pow (+ 3/2 (sqrt 1/2)) 3))
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(+ (* -1 (/ (+ (* -1 (* (sqrt 1/512) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))))) (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2))))) (sqrt 1/512))) (+ (* 9/1024 (/ (- (* 3/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))))) (+ (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (pow (+ 3/2 (sqrt 1/2)) 3))) (+ (* 2 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 5))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 5))))) (sqrt 1/512))) (+ (* 1/2 (/ (- 159/1024 (* 9/1024 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (pow (+ 3/2 (sqrt 1/2)) 3)))) (* (sqrt 1/512) (- (* 1/4 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (* -1 (/ (* (+ (* -1/32 (/ (pow (+ 3/2 (sqrt 1/2)) 2) (pow (sqrt 1/2) 3))) (+ (* 2 (* (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (+ 3/2 (sqrt 1/2)))) (* (+ 3/2 (sqrt 1/2)) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))))) (+ (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4))))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (+ (* -1/8 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 5)))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4) (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) (pow (+ 3/2 (sqrt 1/2)) 6)) (/ (* (+ (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))) (- (* 3/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* -1 (/ (* (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))))) (+ (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (pow (+ 3/2 (sqrt 1/2)) 3))) (+ (* 2 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 5))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 5)))))) (pow (+ 3/2 (sqrt 1/2)) 3)))))))))))) x)) (+ (* -9/1024 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))))) (sqrt 1/512))) (+ (* 1/2 (/ (- 9/128 (* 81/1048576 (/ 1 (pow (sqrt 1/512) 2)))) (* (sqrt 1/512) (pow (+ 3/2 (sqrt 1/2)) 3)))) (* (sqrt 1/512) (- (* 3/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 4))) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 4)))))) (+ (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (pow (+ 3/2 (sqrt 1/2)) 3))) (+ (* 2 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 5))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 5))))))))) x)) (* 9/1024 (/ 1 (* (sqrt 1/512) (pow (+ 3/2 (sqrt 1/2)) 3)))))) x)) (/ (sqrt 1/512) (pow (+ 3/2 (sqrt 1/2)) 3)))
1/9
(+ 1/9 (* 1/36 (pow x 2)))
(+ 1/9 (* (pow x 2) (+ 1/36 (* -13/864 (pow x 2)))))
(+ 1/9 (* (pow x 2) (+ 1/36 (* (pow x 2) (- (* 17/1728 (pow x 2)) 13/864)))))
(/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))
(- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3))))) (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4))))))
(- (+ (* -1 (/ (+ (* -2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) (pow (+ 3/2 (sqrt 1/2)) 5))) (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))))) (+ 3/2 (sqrt 1/2)))) (* 2 (/ (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4) (pow (+ 3/2 (sqrt 1/2)) 3)))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3))))) (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))) (+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4))))))
(/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4)))) x)) (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 3)))) x)) (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) (* x (pow (+ 3/2 (sqrt 1/2)) 5)))) (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 4))))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/16 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))))) (* x (+ 3/2 (sqrt 1/2))))) (* 2 (/ (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))))))) (+ (* -4 (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow (+ 3/2 (sqrt 1/2)) 4)))) x)) (* 2 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 3)))) x)) (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))
1/3
(+ 1/3 (* -1/12 (pow x 2)))
(+ 1/3 (* (pow x 2) (- (* 35/576 (pow x 2)) 1/12)))
(+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 35/576 (* -19/384 (pow x 2)))) 1/12)))
(/ (sqrt 1/8) (+ 3/2 (sqrt 1/2)))
(+ (* -1 (/ (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))
(+ (* -1 (/ (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* -3/16 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2)))))) (pow x 2)))))))
(+ (* -1 (/ (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* -1/2 (/ (* (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (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) (+ 3/2 (sqrt 1/2)))))) (+ (* -3/16 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2)))))) (pow x 2)) (/ (* (sqrt 1/8) (- (* 1/4 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 1/32 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2)))))) (+ 3/2 (sqrt 1/2))))))) (pow x 3)))))))))))
(/ (sqrt 1/8) (+ 3/2 (sqrt 1/2)))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) x)) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* -1 (/ (+ (* -3/16 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (sqrt 1/8))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (sqrt 1/8) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2)))))))) x)) (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) x)) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 3/16 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2))))) (sqrt 1/8))) (* (sqrt 1/8) (- (* 1/4 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 1/32 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2)))))) (+ 3/2 (sqrt 1/2)))))))))) x)) (+ (* -3/16 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (sqrt 1/8))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (sqrt 1/8) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2))))))))) x)) (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) x)) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(* 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))
(* 11/128 (pow x 2))
Outputs
2/9
#s(literal 2/9 binary64)
(+ 2/9 (* -5/72 (pow x 2)))
(+.f64 #s(literal 2/9 binary64) (*.f64 #s(literal -5/72 binary64) (*.f64 x x)))
(+ 2/9 (* (pow x 2) (- (* 193/3456 (pow x 2)) 5/72)))
(+.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 193/3456 binary64)) #s(literal -5/72 binary64))))
(+ 2/9 (* (pow x 2) (- (* (pow x 2) (+ 193/3456 (* -1355/27648 (pow x 2)))) 5/72)))
(+.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 193/3456 binary64) (*.f64 (*.f64 x x) #s(literal -1355/27648 binary64)))) #s(literal -5/72 binary64))))
(+ (* 1/8 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))
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(+ (* -1 (/ (+ (* -1 (* (sqrt 1/8) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 3/16 (/ (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2))))) (sqrt 1/8))) (* (sqrt 1/8) (- (* 1/4 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 1/32 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2)))))) (+ 3/2 (sqrt 1/2)))))))))) x)) (+ (* -3/16 (/ (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (sqrt 1/8))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (sqrt 1/8) (- (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ 3/2 (sqrt 1/2))))))))) x)) (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) x)) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
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(sqrt.f64 #s(literal 1/2 binary64))))))))) x)) x)) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 11/128 binary64))

eval237.0ms (1.3%)

Compiler

Compiled 132533 to 3921 computations (97% saved)

prune129.0ms (0.7%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New88914903
Fresh6612
Picked325
Done011
Total89823921
Accuracy
100.0%
Counts
921 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (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 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal 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 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)))))))))
99.9%
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal -2 binary64))) (+.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 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 (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 (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)))))))))
98.5%
(/.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 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 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
▶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 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)))))
99.9%
(/.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))))
▶97.3%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
▶96.7%
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
98.4%
(-.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))))
▶17.5%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
3.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 binary64)))))
4.5%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓1.1%
(-.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)))))))
97.2%
(-.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))))
97.3%
(-.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)))))
97.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓95.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
99.9%
(*.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)))) (/.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)))))))
1.3%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
3.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
1.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
4.5%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
▶3.1%
#s(literal 0 binary64)
Compiler

Compiled 1310 to 482 computations (63.2% saved)

simplify147.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
✓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 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓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 (*.f64 x x) #s(literal 1/8 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
✓cost-diff0
(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-diff0
(-.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)))
✓cost-diff0
(/.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)))))
✓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))
Rules
1936×sum5-define
1858×fnmadd-define
1392×sum4-define
1380×fmsub-define
1368×sum3-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
030175
162170
2119170
3208170
4419170
5902170
61931169
73869169
86239169
97529169
08009169
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (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))))) 3/2))
1
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
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)))))
0
(- 1 (/ 1 (+ 1 (* (* x x) 1/8))))
1
(/ 1 (+ 1 (* (* x x) 1/8)))
(+ 1 (* (* x x) 1/8))
(* (* x x) 1/8)
(* x x)
x
1/8
(/ 1/2 (+ 1 (sqrt 1/2)))
1/2
(+ 1 (sqrt 1/2))
1
(sqrt 1/2)
(- (- 1 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))
(- 1 (sqrt 1/2))
1
(sqrt 1/2)
1/2
(/ 1/4 (* x (sqrt 1/2)))
1/4
(* x (sqrt 1/2))
x
Outputs
(/ (- 1 (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)))))))
(/.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 (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))))) 3/2))
(-.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 3/2 binary64)))
1
#s(literal 1 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))
(+ 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
3/2
#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))
0
#s(literal 0 binary64)
(- 1 (/ 1 (+ 1 (* (* x x) 1/8))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
1
#s(literal 1 binary64)
(/ 1 (+ 1 (* (* x x) 1/8)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(+ 1 (* (* x x) 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))
(* (* x x) 1/8)
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(* x x)
(*.f64 x x)
x
1/8
#s(literal 1/8 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 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) 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
#s(literal 1 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))
1/4
#s(literal 1/4 binary64)
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
x

localize181.0ms (1%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓accuracy99.6%
(/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy98.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓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 (*.f64 x x) #s(literal 1/8 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
✓accuracy100.0%
(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))
✓accuracy100.0%
(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 (-.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)))))
✓accuracy99.9%
(-.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)))
Results
140.0ms256×0valid
Compiler

Compiled 187 to 29 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 9.0ms (16.7% of total)
ival-mult: 9.0ms (16.7% of total)
ival-pow: 9.0ms (16.7% of total)
compiled-spec: 9.0ms (16.7% of total)
ival-add: 8.0ms (14.9% of total)
ival-sub: 5.0ms (9.3% of total)
ival-sqrt: 5.0ms (9.3% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
16 → 144
Calls
Call 1
Inputs
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)>
#<alt (/ (- 1 (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)))))))>
#<alt (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))>
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)>
#<alt (- 1 (/ 1 (+ 1 (* (* x x) 1/8))))>
#<alt (/ 1 (+ 1 (* (* x x) 1/8)))>
#<alt (+ 1 (* (* x x) 1/8))>
#<alt (* (* x x) 1/8)>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (- (- 1 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (* x x)>
#<alt (* x (sqrt 1/2))>
Outputs
#<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 (* (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 1/8)) (+ 3/2 (sqrt 1/2)))>
#<alt (- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))>
#<alt (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 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)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))>
#<alt (/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))>
#<alt (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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) (+ 3/2 (sqrt 1/2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (* 3/8 (pow x 2))>
#<alt (* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))>
#<alt (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))>
#<alt (- 1 (sqrt 1/8))>
#<alt (- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))>
#<alt (- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))>
#<alt (- (+ 1 (* 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))))) (+ (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))))))>
#<alt (- 1 (sqrt 1/8))>
#<alt (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))>
#<alt (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))>
#<alt 1>
#<alt (+ 1 (* -3/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))>
#<alt (sqrt 1/8)>
#<alt (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))>
#<alt (+ (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)))))>
#<alt (+ (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))))))>
#<alt (sqrt 1/8)>
#<alt (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))>
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))>
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -1/64 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/4096 (pow x 2)))) 1/64))))>
#<alt 1>
#<alt (- 1 (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (- 1 (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/64 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/64 (* -1/512 (pow x 2)))) 1/8)))>
#<alt (/ 8 (pow x 2))>
#<alt (/ (- 8 (* 64 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 8 (/ 512 (pow x 4))) (* 64 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 8 (/ 512 (pow x 4))) (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 8 (pow x 2))>
#<alt (/ (- 8 (* 64 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 8 (/ 512 (pow x 4))) (* 64 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 8 (/ 512 (pow x 4))) (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (pow x 2)))>
#<alt (+ 1 (* 1/8 (pow x 2)))>
#<alt (+ 1 (* 1/8 (pow x 2)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (/ 1 (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 (* 1/8 (pow x 2))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)>
#<alt (/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)>
#<alt (/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (/ 1/4 (* x (sqrt 1/2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
Calls

36 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (- 1 (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)))))))
1.0ms
x
@0
(- (- 1 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))
1.0ms
x
@-inf
(/ (- 1 (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)))))))
1.0ms
x
@0
(/ 1/4 (* x (sqrt 1/2)))
0.0ms
x
@0
(/ (- 1 (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)))))))

rewrite342.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
2950×/-lowering-/.f32
2950×/-lowering-/.f64
2144×*-lowering-*.f32
2144×*-lowering-*.f64
1738×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029123
1218115
22146114
08390114
Stop Event
1×iter limit
1×node limit
Counts
16 → 510
Calls
Call 1
Inputs
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 1/2)
(/ (- 1 (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))))) 3/2))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)
(- 1 (/ 1 (+ 1 (* (* x x) 1/8))))
(/ 1 (+ 1 (* (* x x) 1/8)))
(+ 1 (* (* x x) 1/8))
(* (* x x) 1/8)
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ 1 (sqrt 1/2))
(sqrt 1/2)
(- (- 1 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))
(- 1 (sqrt 1/2))
(/ 1/4 (* x (sqrt 1/2)))
(* x x)
(* x (sqrt 1/2))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.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 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.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)))
(exp.f64 (+.f64 (*.f64 (log.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 (log.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))))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(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 (-.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) (hypot.f64 #s(literal 1 binary64) 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 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.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))))) (sqrt.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) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.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))))) (sqrt.f64 (+.f64 (/.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) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (neg.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)))))) (sqrt.f64 (neg.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) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sqrt.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)))))) (neg.f64 (sqrt.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) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(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))
(pow.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))
(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 2 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 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.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 1/4 binary64)))
(*.f64 (sqrt.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))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.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) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (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 1/2 binary64)))
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(/.f64 (/.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)

simplify283.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3500×*-lowering-*.f32
3500×*-lowering-*.f64
2578×+-lowering-+.f64
2578×+-lowering-+.f32
2014×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03702376
112331852
243961833
084421833
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
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))
(* (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 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 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)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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) (+ 3/2 (sqrt 1/2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(* 3/8 (pow x 2))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
(- 1 (sqrt 1/8))
(- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))
(- (+ 1 (* 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))))) (+ (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))))))
(- 1 (sqrt 1/8))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
1
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))
(sqrt 1/8)
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (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)))))
(+ (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))))))
(sqrt 1/8)
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))
(+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -1/64 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/4096 (pow x 2)))) 1/64))))
1
(- 1 (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))
1
(- 1 (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/64 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/64 (* -1/512 (pow x 2)))) 1/8)))
(/ 8 (pow x 2))
(/ (- 8 (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 8 (/ 512 (pow x 4))) (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 8 (/ 512 (pow x 4))) (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6))))) (pow x 2))
(/ 8 (pow x 2))
(/ (- 8 (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 8 (/ 512 (pow x 4))) (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 8 (/ 512 (pow x 4))) (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6))))) (pow x 2))
1
(+ 1 (* 1/8 (pow x 2)))
(+ 1 (* 1/8 (pow x 2)))
(+ 1 (* 1/8 (pow x 2)))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/8 (/ 1 (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))
(* 1/8 (pow x 2))
(/ -1/4 (* x (sqrt 1/2)))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(/ 1/4 (* x (sqrt 1/2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 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 x (*.f64 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 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.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 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))) (-.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)
(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 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(+ (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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (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))))
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(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- 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 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- 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 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x))
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(/ 1/4 (* x (sqrt 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))

eval86.0ms (0.5%)

Compiler

Compiled 20192 to 1899 computations (90.6% saved)

prune83.0ms (0.5%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New6666672
Fresh21315
Picked325
Done033
Total67124695
Accuracy
100.0%
Counts
695 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (-.f64 (pow.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))) #s(literal -3 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 9/2 binary64)) (pow.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))) #s(literal -3 binary64)))) (+.f64 (pow.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))) #s(literal -2 binary64)) (+.f64 (pow.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 (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)))) #s(literal 2 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 (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))))))))
98.5%
(/.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 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 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
▶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 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))))
▶17.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
99.9%
(/.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))))
✓97.3%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
98.2%
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓96.7%
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
17.2%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
▶98.4%
(-.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))))
3.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 binary64)))))
4.5%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓1.1%
(-.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)))))))
97.2%
(-.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))))
97.3%
(-.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)))))
97.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓95.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
99.9%
(*.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)))) (/.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)))))))
1.3%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
3.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
▶1.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
4.5%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
▶17.4%
#s(literal 1 binary64)
Compiler

Compiled 965 to 449 computations (53.5% saved)

simplify221.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(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-diff0
(/.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-diff0
(-.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))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(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-diff0
(-.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)))
✓cost-diff0
(/.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 (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))))
Rules
2620×fma-lowering-fma.f32
2620×fma-lowering-fma.f64
1868×fmsub-define
1796×*-lowering-*.f32
1796×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035254
187240
2201240
3647239
41795239
56068239
08302239
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2)))
(- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))
1
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
3/2
(+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2)
1
(* (* x x) (+ 1/8 (* (* x x) -11/128)))
(* x x)
x
(+ 1/8 (* (* x x) -11/128))
1/8
(* (* x x) -11/128)
-11/128
(/ (- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))) (- 1 (/ -1 (+ 1 (* x (* x 1/8))))))
(- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))))
1
(/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))
(* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))
(+ 1 (* x (* x 1/8)))
(* x (* x 1/8))
x
(* x 1/8)
1/8
(- 1 (/ -1 (+ 1 (* x (* x 1/8)))))
(/ -1 (+ 1 (* x (* x 1/8))))
-1
(- 1 (/ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) -1/2)))
1
(/ 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)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
-1/2
Outputs
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 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 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))))) 3/2))
(-.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 3/2 binary64)))
1
#s(literal 1 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))
(+ 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
3/2
#s(literal 3/2 binary64)
(+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2))
(+.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)))
(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 (sqrt (+ (* 1 1) (* x x)))) 3/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
1
#s(literal 1 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)
(*.f64 x x)
x
(+ 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))
-11/128
#s(literal -11/128 binary64)
(/ (- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))) (- 1 (/ -1 (+ 1 (* x (* x 1/8))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
(- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))))))
1
#s(literal 1 binary64)
(/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)))))
(* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal 1/4 binary64))))
(+ 1 (* x (* x 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* x (* x 1/8))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
x
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(- 1 (/ -1 (+ 1 (* x (* x 1/8)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/ -1 (+ 1 (* x (* x 1/8))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
-1
#s(literal -1 binary64)
(- 1 (/ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) -1/2)))
(+.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))))
1
#s(literal 1 binary64)
(/ 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) -1/2))
(/.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 -1/2 binary64)))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) -1/2)
(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))
(+ 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
-1/2
#s(literal -1/2 binary64)

localize194.0ms (1.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(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))
✓accuracy98.5%
(/.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)))
✓accuracy98.4%
(-.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))))
✓accuracy99.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
✓accuracy99.3%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x 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%
(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))
✓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 (-.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 (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))))
✓accuracy99.9%
(-.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)))
Results
133.0ms256×0valid
Compiler

Compiled 303 to 34 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 20.0ms (30.2% of total)
ival-div: 11.0ms (16.6% of total)
ival-pow: 9.0ms (13.6% of total)
compiled-spec: 8.0ms (12.1% of total)
ival-add: 7.0ms (10.6% of total)
ival-sub: 5.0ms (7.6% of total)
ival-sqrt: 4.0ms (6% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2)))>
#<alt (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))>
#<alt (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)>
#<alt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (* (* x x) (+ 1/8 (* (* x x) -11/128)))>
#<alt (* x x)>
#<alt (+ 1/8 (* (* x x) -11/128))>
#<alt (* (* x x) -11/128)>
#<alt (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))>
#<alt (/ (- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))) (- 1 (/ -1 (+ 1 (* x (* x 1/8))))))>
#<alt (- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))))>
#<alt (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))>
#<alt (- 1 (/ 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 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
#<alt (/ -1 (+ 1 (* x (* x 1/8))))>
#<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 1/8)) (+ 3/2 (sqrt 1/2)))>
#<alt (- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))>
#<alt (- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 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)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))>
#<alt (/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))>
#<alt (- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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) (+ 3/2 (sqrt 1/2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))>
#<alt (* 3/8 (pow x 2))>
#<alt (* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))>
#<alt (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))>
#<alt (- 1 (sqrt 1/8))>
#<alt (- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))>
#<alt (- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))>
#<alt (- (+ 1 (* 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))))) (+ (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))))))>
#<alt (- 1 (sqrt 1/8))>
#<alt (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))>
#<alt (- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))>
#<alt 1>
#<alt (+ 1 (* -3/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))>
#<alt (sqrt 1/8)>
#<alt (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))>
#<alt (+ (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)))))>
#<alt (+ (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))))))>
#<alt (sqrt 1/8)>
#<alt (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))>
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))>
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))>
#<alt 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 (* 1/8 (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 (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 (* -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>
#<alt (+ 1 (* 1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/4 (* 1/64 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/4 (* 1/64 (pow x 2)))))>
#<alt (* 1/64 (pow x 4))>
#<alt (* (pow x 4) (+ 1/64 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/64 (pow x 4))>
#<alt (* (pow x 4) (+ 1/64 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -1/64 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/4096 (pow x 2)))) 1/64))))>
#<alt 1>
#<alt (- 1 (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (- 1 (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))>
#<alt (- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/64 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/128 (pow x 2)) 3/64))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/128 (* -5/4096 (pow x 2)))) 3/64))))>
#<alt 1>
#<alt (- 1 (* 64 (/ 1 (pow x 4))))>
#<alt (- (+ 1 (/ 1024 (pow x 6))) (* 64 (/ 1 (pow x 4))))>
#<alt (- (+ 1 (/ 1024 (pow x 6))) (+ (* 64 (/ 1 (pow x 4))) (* 12288 (/ 1 (pow x 8)))))>
#<alt 1>
#<alt (- 1 (* 64 (/ 1 (pow x 4))))>
#<alt (- (+ 1 (/ 1024 (pow x 6))) (* 64 (/ 1 (pow x 4))))>
#<alt (- (+ 1 (/ 1024 (pow x 6))) (+ (* 64 (/ 1 (pow x 4))) (* 12288 (/ 1 (pow x 8)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/64 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/64 (* -1/128 (pow x 2)))) 1/4)))>
#<alt (/ 64 (pow x 4))>
#<alt (/ (- 64 (* 1024 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 64 (/ 12288 (pow x 4))) (* 1024 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 64 (/ 12288 (pow x 4))) (+ (* 1024 (/ 1 (pow x 2))) (* 131072 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 64 (pow x 4))>
#<alt (/ (- 64 (* 1024 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 64 (/ 12288 (pow x 4))) (* 1024 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 64 (/ 12288 (pow x 4))) (+ (* 1024 (/ 1 (pow x 2))) (* 131072 (/ 1 (pow x 6))))) (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 (* (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 (* 1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* -9/128 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 49/1024 (pow x 2)) 9/128)))))>
#<alt (sqrt 2)>
#<alt (- (sqrt 2) (/ 1 (* x (sqrt 2))))>
#<alt (- (+ (sqrt 2) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* (pow x 2) (sqrt 2))))) (/ 1 (* x (sqrt 2))))>
#<alt (- (+ (sqrt 2) (+ (* -1/2 (/ (+ 1 (* -1 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (pow (sqrt 2) 2)))) (* (pow x 3) (sqrt 2)))) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* (pow x 2) (sqrt 2)))))) (/ 1 (* x (sqrt 2))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (/ 1 (* x (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (/ (- (* -1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* x (sqrt 2)))) (/ 1 (sqrt 2))) x)))>
#<alt (+ (sqrt 2) (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (+ 1 (* -1 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (pow (sqrt 2) 2)))) (* x (sqrt 2)))) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (sqrt 2)))) x)) (/ 1 (sqrt 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>
#<alt (- (* 1/8 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/8 (* -1/64 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64)))) 1)>
#<alt (/ -8 (pow x 2))>
#<alt (/ (- (* 64 (/ 1 (pow x 2))) 8) (pow x 2))>
#<alt (/ (- (* 64 (/ 1 (pow x 2))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6)))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))>
#<alt (/ -8 (pow x 2))>
#<alt (/ (- (* 64 (/ 1 (pow x 2))) 8) (pow x 2))>
#<alt (/ (- (* 64 (/ 1 (pow x 2))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6)))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))>
#<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

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))
0.0ms
x
@0
(* (* x x) (+ 1/8 (* (* x x) -11/128)))
0.0ms
x
@inf
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2)))
0.0ms
x
@inf
(* (* x x) -11/128)
0.0ms
x
@0
(/ (- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))) (- 1 (/ -1 (+ 1 (* x (* x 1/8))))))

rewrite351.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2408×*-lowering-*.f32
2408×*-lowering-*.f64
2268×fma-lowering-fma.f32
2268×fma-lowering-fma.f64
1778×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035170
1256151
22423148
08292148
Stop Event
1×iter limit
1×node limit
Counts
18 → 525
Calls
Call 1
Inputs
(/ (- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 3/2)))
(- 1 (pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))
(pow (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(* (* x x) (+ 1/8 (* (* x x) -11/128)))
(* x x)
(+ 1/8 (* (* x x) -11/128))
(* (* x x) -11/128)
(* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))
(/ (- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))) (- 1 (/ -1 (+ 1 (* x (* x 1/8))))))
(- 1 (/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8))))))
(/ 1 (* (+ 1 (* x (* x 1/8))) (+ 1 (* x (* x 1/8)))))
(- 1 (/ 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)
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(/ -1 (+ 1 (* x (* x 1/8))))
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 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 (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) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 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 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (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 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (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) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (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 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 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 (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 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (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))))) (fma.f64 (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 3/4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (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 (/.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)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (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)))))
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(*.f64 (sqrt.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))))) (sqrt.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)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (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 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (sqrt.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))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)) #s(literal 1 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) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
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(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
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(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))

simplify339.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3248×*-lowering-*.f32
3248×*-lowering-*.f64
2462×+-lowering-+.f64
2462×+-lowering-+.f32
1892×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05503509
118022716
261862708
080862708
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 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)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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) (+ 3/2 (sqrt 1/2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(* 3/8 (pow x 2))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
(- 1 (sqrt 1/8))
(- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))
(- (+ 1 (* 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))))) (+ (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))))))
(- 1 (sqrt 1/8))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
1
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))
(sqrt 1/8)
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (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)))))
(+ (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))))))
(sqrt 1/8)
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))
(+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) 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)))
(* 1/8 (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))
(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 (* -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
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* 1/64 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* 1/64 (pow x 2)))))
(* 1/64 (pow x 4))
(* (pow x 4) (+ 1/64 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/64 (pow x 4))
(* (pow x 4) (+ 1/64 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/64 (+ (* 1/4 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -1/64 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/512 (* -1/4096 (pow x 2)))) 1/64))))
1
(- 1 (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))
1
(- 1 (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (* 8 (/ 1 (pow x 2))))
(- (+ 1 (/ 64 (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* 512 (/ 1 (pow x 6)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/64 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/128 (pow x 2)) 3/64))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/128 (* -5/4096 (pow x 2)))) 3/64))))
1
(- 1 (* 64 (/ 1 (pow x 4))))
(- (+ 1 (/ 1024 (pow x 6))) (* 64 (/ 1 (pow x 4))))
(- (+ 1 (/ 1024 (pow x 6))) (+ (* 64 (/ 1 (pow x 4))) (* 12288 (/ 1 (pow x 8)))))
1
(- 1 (* 64 (/ 1 (pow x 4))))
(- (+ 1 (/ 1024 (pow x 6))) (* 64 (/ 1 (pow x 4))))
(- (+ 1 (/ 1024 (pow x 6))) (+ (* 64 (/ 1 (pow x 4))) (* 12288 (/ 1 (pow x 8)))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/64 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/64 (* -1/128 (pow x 2)))) 1/4)))
(/ 64 (pow x 4))
(/ (- 64 (* 1024 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 64 (/ 12288 (pow x 4))) (* 1024 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 64 (/ 12288 (pow x 4))) (+ (* 1024 (/ 1 (pow x 2))) (* 131072 (/ 1 (pow x 6))))) (pow x 4))
(/ 64 (pow x 4))
(/ (- 64 (* 1024 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 64 (/ 12288 (pow x 4))) (* 1024 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 64 (/ 12288 (pow x 4))) (+ (* 1024 (/ 1 (pow x 2))) (* 131072 (/ 1 (pow x 6))))) (pow x 4))
(* 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 (* 1/8 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/8 (* -9/128 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 49/1024 (pow x 2)) 9/128)))))
(sqrt 2)
(- (sqrt 2) (/ 1 (* x (sqrt 2))))
(- (+ (sqrt 2) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* (pow x 2) (sqrt 2))))) (/ 1 (* x (sqrt 2))))
(- (+ (sqrt 2) (+ (* -1/2 (/ (+ 1 (* -1 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (pow (sqrt 2) 2)))) (* (pow x 3) (sqrt 2)))) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* (pow x 2) (sqrt 2)))))) (/ 1 (* x (sqrt 2))))
(sqrt 2)
(+ (sqrt 2) (/ 1 (* x (sqrt 2))))
(+ (sqrt 2) (* -1 (/ (- (* -1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* x (sqrt 2)))) (/ 1 (sqrt 2))) x)))
(+ (sqrt 2) (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (+ 1 (* -1 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (pow (sqrt 2) 2)))) (* x (sqrt 2)))) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (sqrt 2)))) x)) (/ 1 (sqrt 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
(- (* 1/8 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/8 (* -1/64 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64)))) 1)
(/ -8 (pow x 2))
(/ (- (* 64 (/ 1 (pow x 2))) 8) (pow x 2))
(/ (- (* 64 (/ 1 (pow x 2))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/ (- (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6)))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/ -8 (pow x 2))
(/ (- (* 64 (/ 1 (pow x 2))) 8) (pow x 2))
(/ (- (* 64 (/ 1 (pow x 2))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/ (- (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6)))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
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 (*.f64 x 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 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))))))))
(* (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 x (*.f64 x (+.f64 #s(literal 69/1024 binary64) (*.f64 x (*.f64 x #s(literal -1843/32768 binary64))))))))))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+.f64 (/.f64 (-.f64 #s(literal 1 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 3/16 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 1 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))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 x)))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1/32 binary64)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))))) (+.f64 (/.f64 (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 1/8 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (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 3/16 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 1 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))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 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)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 13/128 binary64) (*.f64 x (*.f64 x x))) (*.f64 (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 -3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x)) (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (*.f64 x (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 -3/64 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 1/8 binary64))) #s(literal -1/32 binary64)) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/16 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 1 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))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (*.f64 (*.f64 x x) (*.f64 x (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 binary64) (sqrt.f64 #s(literal 1/8 binary64))) #s(literal -1/32 binary64)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))))) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/16 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 1 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))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/32 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/16 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 1 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))))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -9/128 binary64)))))
(+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 49/1024 (pow x 2)) 9/128)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -9/128 binary64) (*.f64 (*.f64 x x) #s(literal 49/1024 binary64)))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(- (sqrt 2) (/ 1 (* x (sqrt 2))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(- (+ (sqrt 2) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* (pow x 2) (sqrt 2))))) (/ 1 (* x (sqrt 2))))
(+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(- (+ (sqrt 2) (+ (* -1/2 (/ (+ 1 (* -1 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (pow (sqrt 2) 2)))) (* (pow x 3) (sqrt 2)))) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* (pow x 2) (sqrt 2)))))) (/ 1 (* x (sqrt 2))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (/ 1 (* x (sqrt 2))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+ (sqrt 2) (* -1 (/ (- (* -1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (* x (sqrt 2)))) (/ 1 (sqrt 2))) x)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -3/4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
(+ (sqrt 2) (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (+ 1 (* -1 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (pow (sqrt 2) 2)))) (* x (sqrt 2)))) (* 1/2 (/ (- 2 (/ 1 (pow (sqrt 2) 2))) (sqrt 2)))) x)) (/ 1 (sqrt 2))) x)))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64))) x) x))))
(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 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (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 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))))
(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 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) 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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
-1
#s(literal -1 binary64)
(- (* 1/8 (pow x 2)) 1)
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/8 (* -1/64 (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/64 binary64)))))
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/512 (pow x 2)) 1/64)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/64 binary64) (*.f64 x (*.f64 x #s(literal 1/512 binary64)))))))))
(/ -8 (pow x 2))
(/.f64 #s(literal -8 binary64) (*.f64 x x))
(/ (- (* 64 (/ 1 (pow x 2))) 8) (pow x 2))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* 64 (/ 1 (pow x 2))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ (- (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6)))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(/ -8 (pow x 2))
(/.f64 #s(literal -8 binary64) (*.f64 x x))
(/ (- (* 64 (/ 1 (pow x 2))) 8) (pow x 2))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* 64 (/ 1 (pow x 2))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ (- (+ (* 64 (/ 1 (pow x 2))) (* 4096 (/ 1 (pow x 6)))) (+ 8 (/ 512 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 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 x (*.f64 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 x (*.f64 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) (pow.f64 x #s(literal 4 binary64))) (+.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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 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 #s(literal 0 binary64) (/.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) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 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 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 x))

eval152.0ms (0.9%)

Compiler

Compiled 33175 to 3008 computations (90.9% saved)

prune214.0ms (1.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New9575962
Fresh11314
Picked145
Done055
Total95927986
Accuracy
100.0%
Counts
986 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -3 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 9/2 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (+.f64 (pow.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.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 3/2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))))
98.5%
(/.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 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 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
✓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 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))))
19.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
99.9%
(/.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))))
17.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))))
17.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
✓97.3%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
98.2%
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓96.7%
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
17.2%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x)))
✓98.4%
(-.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))))
97.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
3.9%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 binary64)))))
4.5%
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓1.1%
(-.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)))))))
97.2%
(-.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))))
97.3%
(-.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)))))
97.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓95.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
99.9%
(*.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)))) (/.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)))))))
1.3%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
3.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
✓1.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
4.5%
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
✓17.4%
#s(literal 1 binary64)
Compiler

Compiled 1925 to 486 computations (74.8% saved)

regimes91.0ms (0.5%)

Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
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(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (*.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 (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 (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)))))))))
Outputs
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (*.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 (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 (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)))))))))
Calls

7 calls:

15.0ms
x
14.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms
(hypot.f64 #s(literal 1 binary64) x)
11.0ms
(*.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
99.9%1x
99.9%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))))))
99.9%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)))))
99.9%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.9%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.9%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.9%1(hypot.f64 #s(literal 1 binary64) x)
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes114.0ms (0.6%)

Counts
43 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 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 #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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.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 #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 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.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)))))))
(/.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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.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 (-.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 (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 3/2 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) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 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 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.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))) #s(literal -3 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 9/2 binary64)) (pow.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))) #s(literal -3 binary64)))) (+.f64 (pow.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))) #s(literal -2 binary64)) (+.f64 (pow.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 (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)))) #s(literal 2 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 (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 (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -3 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 9/2 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)) (+.f64 (pow.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.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 3/2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))))
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (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 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal 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 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 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) #s(literal -2 binary64))) (+.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 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 (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 (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)))))))))
Outputs
(/.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 (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))))
Calls

7 calls:

45.0ms
x
14.0ms
(hypot.f64 #s(literal 1 binary64) x)
11.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
11.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
11.0ms
(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
99.9%1x
99.9%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))))))
99.9%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)))))
99.9%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.9%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.9%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.9%1(hypot.f64 #s(literal 1 binary64) x)
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes93.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 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 #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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.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 #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 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.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)))))))
(/.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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.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)))))))
Outputs
(/.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))))
Calls

7 calls:

19.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
18.0ms
(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)))))
10.0ms
(hypot.f64 #s(literal 1 binary64) x)
10.0ms
x
8.0ms
(-.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
99.9%1x
99.9%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))))))
99.9%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)))))
99.9%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.9%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.9%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.9%1(hypot.f64 #s(literal 1 binary64) x)
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes82.0ms (0.5%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 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 #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 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.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 #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 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.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)))))))
Outputs
(-.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)))))
Calls

7 calls:

21.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
14.0ms
(-.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))))))
10.0ms
x
10.0ms
(hypot.f64 #s(literal 1 binary64) x)
9.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.4%1x
98.4%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))))))
98.4%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)))))
98.4%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
98.4%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
98.4%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
98.4%1(hypot.f64 #s(literal 1 binary64) x)
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes12.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 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 #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))))
Outputs
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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:

7.0ms
x
Results
AccuracySegmentsBranch
95.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
19.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 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 (*.f64 (*.f64 x x) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)))))
(-.f64 #s(literal 1 binary64) (+.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))))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 11/128 binary64) (*.f64 (*.f64 x x) #s(literal -69/1024 binary64)))) #s(literal -1/8 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 x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 (*.f64 x x) #s(literal -1843/32768 binary64)))) #s(literal -11/128 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
17.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 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 1 binary64) (/.f64 #s(literal 8 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 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
17.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify44.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
74×+-commutative_binary64
56×sub-neg_binary64
46×*-commutative_binary64
40×neg-sub0_binary64
40×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052298
184298
2119298
3150298
4189298
5212298
6228298
7235298
8237298
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (*.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 (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 (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) (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 1/2 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) (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) (+.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
#s(literal 1 binary64)
#s(literal 0 binary64)
Outputs
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #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 (*.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 (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 (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 (pow.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))) (/.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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))) (+.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 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 (/.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 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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3/2 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 1/2 binary64)) (+.f64 (/.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 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 (/.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 3/2 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 1/2 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) (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) (+.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness2.9s (16.1%)

Rules
3500×*-lowering-*.f32
3500×*-lowering-*.f64
3248×*-lowering-*.f32
3248×*-lowering-*.f64
3204×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01211
12910
23710
34510
45310
56610
68310
79710
810910
911010
011010
03702376
112331852
243961833
084421833
041414
1320342
23514342
08204342
0116515673
1420014303
0813714303
05503509
118022716
261862708
080862708
029123
1218115
22146114
08390114
0169619
1503526
21468510
34233508
08069508
01130
16730
253830
3653130
0800330
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 501 to 198 computations (60.5% saved)

preprocess154.0ms (0.9%)

Remove

(abs x)

Compiler

Compiled 2584 to 352 computations (86.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...