Given's Rotation SVD example, simplified

Time bar (total: 26.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.6s (6.2%)

Memory
38.8MiB live, 1 581.7MiB allocated; 234ms collecting garbage
Samples
828.0ms2 881×2valid
298.0ms4 146×0valid
196.0ms1 229×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-hypot: 388.0ms (35.2% of total)
adjust: 187.0ms (17% of total)
ival-div: 130.0ms (11.8% of total)
ival-sqrt: 117.0ms (10.6% of total)
ival-mult: 96.0ms (8.7% of total)
ival-add: 93.0ms (8.4% of total)
ival-sub: 79.0ms (7.2% of total)
exact: 9.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain161.0ms (0.6%)

Memory
-24.1MiB live, 180.5MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-0-(-.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-(*.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-#s(literal 1 binary64)
00-0-(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-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.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))))))cancellation620
Confusion
Predicted +Predicted -
+620
-0194
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-00194
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0194
162
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms154×2valid
22.0ms274×0valid
15.0ms84×1valid
Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-hypot: 28.0ms (41% of total)
adjust: 10.0ms (14.6% of total)
ival-div: 8.0ms (11.7% of total)
ival-sqrt: 7.0ms (10.3% of total)
ival-mult: 6.0ms (8.8% of total)
ival-sub: 4.0ms (5.9% of total)
ival-add: 4.0ms (5.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess197.0ms (0.7%)

Memory
-20.7MiB live, 121.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02246
16140
213340
329940
4124839
5645739
0912
01812
13510
28110
318710
460710
5271810
0812510
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Outputs
(-.f64 #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) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(-.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))))))
Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
9 → 69
Calls
Call 1
Inputs
(-.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))))))
#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 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#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) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms
x
@inf
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)
2.0ms
x
@-inf
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) x)

rewrite161.0ms (0.6%)

Memory
20.1MiB live, 158.6MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161700
03261369
119981336
081381291
Stop Event
iter limit
node limit
iter limit
Counts
78 → 149
Calls
Call 1
Inputs
(-.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))))))
#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 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#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) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(sqrt.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (atan.f64 x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (atan.f64 x))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))))))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/32 binary64) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval21.0ms (0.1%)

Memory
-19.7MiB live, 26.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 3 533 to 825 computations (76.6% saved)

prune61.0ms (0.2%)

Memory
15.7MiB live, 62.6MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1484152
Fresh000
Picked101
Done000
Total1494153
Accuracy
79.4%
Counts
153 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
79.0%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
40.6%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
54.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
Compiler

Compiled 105 to 61 computations (41.9% saved)

series28.0ms (0.1%)

Memory
-20.8MiB live, 32.6MiB allocated; 4ms collecting garbage
Counts
41 → 195
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -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) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
(/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 1))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 1))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* 1/2 (pow x 6)))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* (pow x 6) (+ 1/2 (* -1/8 (pow x 6)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* (pow x 6) (+ 1/2 (* (pow x 6) (- (* 1/16 (pow x 6)) 1/8)))))))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 1))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 3/16 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 1))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (* (pow x 2) (- (pow x 2) 1))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (- (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (* 1/2 (/ (+ 1 (cos (atan x))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))))
#s(approx (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (+ 1 (cos (atan x))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 x))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (pow x 3)))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (/ 1 (pow x 6)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* (pow x 3) (- (+ 1 (* 1/2 (/ 1 (pow x 6)))) (/ 1/8 (pow x 12))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* (pow x 3) (- (+ 1 (+ (* 1/2 (/ 1 (pow x 6))) (* 1/16 (/ 1 (pow x 18))))) (/ 1/8 (pow x 12))))))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (pow x 6)))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (* (pow x 6) (+ 1 (/ 1 (pow x 6))))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (pow x 4)))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 x)))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (+ 1 (* 1/2 (/ 1 (pow x 6))))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1 (* 1/2 (/ 1 (pow x 6)))) (/ 1/8 (pow x 12)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1 (+ (* 1/2 (/ 1 (pow x 6))) (* 1/16 (/ 1 (pow x 18))))) (/ 1/8 (pow x 12)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) x -2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (sqrt (+ 1 (pow x 6))) (+ 1 (pow x 6)) (pow x 6) 6 (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) (+ 1 (- (pow x 4) (* 1 (* x x)))) (- (pow x 4) (* 1 (* x x))) (pow x 4) 4 (* 1 (* x x)) (* x x) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)))
8.0ms
x
@0
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) x -2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (sqrt (+ 1 (pow x 6))) (+ 1 (pow x 6)) (pow x 6) 6 (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) (+ 1 (- (pow x 4) (* 1 (* x x)))) (- (pow x 4) (* 1 (* x x))) (pow x 4) 4 (* 1 (* x x)) (* x x) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)))
7.0ms
x
@inf
((- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (* (+ (* (pow x -2) 1/2) 1) x) (+ (* (pow x -2) 1/2) 1) (pow x -2) x -2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (sqrt (+ 1 (pow x 6))) (+ 1 (pow x 6)) (pow x 6) 6 (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) (+ 1 (- (pow x 4) (* 1 (* x x)))) (- (pow x 4) (* 1 (* x x))) (pow x 4) 4 (* 1 (* x x)) (* x x) (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) (sqrt (* (+ (cos (atan x)) 1) 1/2)) (* (+ (cos (atan x)) 1) 1/2) (+ (cos (atan x)) 1) (cos (atan x)) (atan x) (/ (* (+ (cos (atan x)) 1) 1/2) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (- 1 (* (+ (cos (atan x)) 1) 1/2)) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (- 1 (* (+ (cos (atan x)) 1) 1/2)))

rewrite180.0ms (0.7%)

Memory
31.5MiB live, 167.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05726169
06294211
130523824
097323728
Stop Event
iter limit
node limit
iter limit
Counts
236 → 673
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))))
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#s(literal 1/2 binary64)
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(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (/ (+ 1/2 (pow x 2)) x)))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 1))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 1))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* 1/2 (pow x 6)))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* (pow x 6) (+ 1/2 (* -1/8 (pow x 6)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* (pow x 6) (+ 1/2 (* (pow x 6) (- (* 1/16 (pow x 6)) 1/8)))))))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 1))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 3/16 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 1))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (* (pow x 2) (- (pow x 2) 1))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
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#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
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#s(approx (- 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (- 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 x))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (pow x 3)))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (/ 1 (pow x 6)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* (pow x 3) (- (+ 1 (* 1/2 (/ 1 (pow x 6)))) (/ 1/8 (pow x 12))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* (pow x 3) (- (+ 1 (+ (* 1/2 (/ 1 (pow x 6))) (* 1/16 (/ 1 (pow x 18))))) (/ 1/8 (pow x 12))))))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (pow x 6)))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (* (pow x 6) (+ 1 (/ 1 (pow x 6))))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (* (pow x 2) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (pow x 4)))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (* 1 (* x x))) #s(hole binary64 (* (pow x 4) (- 1 (/ 1 (pow x 2))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 x)))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (+ 1 (* 1/2 (/ 1 (pow x 6))))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1 (* 1/2 (/ 1 (pow x 6)))) (/ 1/8 (pow x 12)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1 (+ (* 1/2 (/ 1 (pow x 6))) (* 1/16 (/ 1 (pow x 18))))) (/ 1/8 (pow x 12)))))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) x)
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (neg.f64 x))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 7/2 binary64))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (neg.f64 x))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ 1 (pow x 6))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
#s(approx (sqrt (+ 1 (pow x 6))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow x 6))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 12 binary64))))))
#s(approx (sqrt (+ 1 (pow x 6))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -18 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 12 binary64))))))

eval78.0ms (0.3%)

Memory
5.4MiB live, 104.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 18 616 to 3 246 computations (82.6% saved)

prune772.0ms (2.9%)

Memory
39.0MiB live, 638.2MiB allocated; 31ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5565561
Fresh000
Picked314
Done000
Total5596565
Accuracy
79.4%
Counts
565 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
79.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
55.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
78.2%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
16.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
54.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
Compiler

Compiled 592 to 256 computations (56.8% saved)

series128.0ms (0.5%)

Memory
-46.8MiB live, 116.9MiB allocated; 93ms collecting garbage
Counts
70 → 266
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
x
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #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) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3))) (* (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))) (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))))))))
#s(approx (/ (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (/ (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3))) (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x)))))))))
#s(approx (- 1 (* (pow (+ (cos (atan x)) 1) 3) 1/8)) #s(hole binary64 (- 1 (* 1/8 (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (* (pow (+ (cos (atan x)) 1) 3) 1/8) #s(hole binary64 (* 1/8 (pow (+ 1 (cos (atan x))) 3))))
#s(approx (pow (+ (cos (atan x)) 1) 3) #s(hole binary64 (pow (+ 1 (cos (atan x))) 3)))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (+ (pow (* (+ (cos (atan x)) 1) 1/2) 2) (* 1 (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ (* 1/4 (pow (+ 1 (cos (atan x))) 2)) (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 2) #s(hole binary64 (* 1/4 (pow (+ 1 (cos (atan x))) 2))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (* 1 (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 1))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 1))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* 1/2 (pow x 6)))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* (pow x 6) (+ 1/2 (* -1/8 (pow x 6)))))))
#s(approx (sqrt (+ 1 (pow x 6))) #s(hole binary64 (+ 1 (* (pow x 6) (+ 1/2 (* (pow x 6) (- (* 1/16 (pow x 6)) 1/8)))))))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 1))
#s(approx (+ 1 (pow x 6)) #s(hole binary64 (+ 1 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (+ 1 (- (pow x 4) (* 1 (* x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 3/16 (pow x 2)))) 1/2)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 1))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (* (- (+ (pow x -4) 1) (pow x -2)) (pow x 4)) #s(hole binary64 1))
#s(approx (* (- (+ (pow x -4) 1) (pow x -2)) (pow x 4)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (- (+ (pow x -4) 1) (pow x -2)) (pow x 4)) #s(hole binary64 (+ 1 (* (pow x 2) (- (pow x 2) 1)))))
#s(approx (- (+ (pow x -4) 1) (pow x -2)) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (- (+ (pow x -4) 1) (pow x -2)) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 4))))
#s(approx (- (+ (pow x -4) 1) (pow x -2)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (pow x 2) 1))) (pow x 4))))
#s(approx (+ (pow x -4) 1) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (+ (pow x -4) 1) #s(hole binary64 (/ (+ 1 (pow x 4)) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) (/ (* (+ (cos (atan x)) 1) 1/2) (/ (+ 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (- (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))))) #s(hole binary64 (- (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (* 1/2 (/ (* (+ 1 (cos (atan x))) (- (+ 1 (* 1/2 (+ 1 (cos (atan x))))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (+ 1 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (/ (* (+ (cos (atan x)) 1) 1/2) (/ (+ 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (- (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))))) #s(hole binary64 (* 1/2 (/ (* (+ 1 (cos (atan x))) (- (+ 1 (* 1/2 (+ 1 (cos (atan x))))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))) (+ 1 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3))))))))
#s(approx (/ (+ 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) (+ 1 (- (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))))) #s(hole binary64 (/ (+ 1 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))) (- (+ 1 (* 1/2 (+ 1 (cos (atan x))))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (+ 1 (pow (* (+ (cos (atan x)) 1) 1/2) 3/2)) #s(hole binary64 (+ 1 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3))))))
#s(approx (pow (* (+ (cos (atan x)) 1) 1/2) 3/2) #s(hole binary64 (* (sqrt 1/8) (sqrt (pow (+ 1 (cos (atan x))) 3)))))
#s(approx (+ 1 (- (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))))) #s(hole binary64 (- (+ 1 (* 1/2 (+ 1 (cos (atan x))))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (- (* (+ (cos (atan x)) 1) 1/2) (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (- (* 1/2 (+ 1 (cos (atan x)))) (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (* 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
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#s(approx (* (+ (* (pow x -2) 1/2) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1))
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Calls

3 calls:

TimeVariablePointExpression
65.0ms
x
@inf
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28.0ms
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rewrite291.0ms (1.1%)

Memory
11.4MiB live, 347.7MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103414097
0113311682
1668411237
0983110772
Stop Event
iter limit
node limit
iter limit
Counts
336 → 604
Calls
Call 1
Inputs
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#s(approx (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))))
#s(approx (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) #s(hole binary64 (- (+ 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))))
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#s(approx (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2) #s(hole binary64 (+ (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)))))
#s(approx (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2) #s(hole binary64 (+ (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)))))
#s(approx (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) #s(hole binary64 (/ -1 x)))
#s(approx (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))))) #s(hole binary64 (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))) #s(hole binary64 (+ 1/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* -3/16 (sqrt 1/2)) 1/4) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))) x))))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
Outputs
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#s(literal 1 binary64)
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#s(approx (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))))) (+.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
#s(approx (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))))) (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
#s(approx (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))))) (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) x))) x))) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
#s(approx (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))) (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))) (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) x))) x))) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))

eval163.0ms (0.6%)

Memory
7.9MiB live, 286.2MiB allocated; 40ms collecting garbage
Compiler

Compiled 73 326 to 4 813 computations (93.4% saved)

prune4.4s (16.5%)

Memory
48.3MiB live, 4 483.9MiB allocated; 340ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1 09031 093
Fresh000
Picked415
Done101
Total1 09541 099
Accuracy
100.0%
Counts
1 099 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
78.2%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
47.1%
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
48.4%
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
Compiler

Compiled 361 to 142 computations (60.7% saved)

series47.0ms (0.2%)

Memory
-37.0MiB live, 57.3MiB allocated; 9ms collecting garbage
Counts
63 → 59
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 3/8 binary64)
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64))
(*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x))
(fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))))
(neg.f64 (*.f64 x x))
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 11/32 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3/16 binary64)
#s(literal 11/384 binary64)
#s(literal -1 binary64)
#s(literal 2681/32768 binary64)
(fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))
#s(literal -3/8 binary64)
(/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))
(-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))
#s(literal 121/1536 binary64)
(*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/2 binary64)
(*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 69/256 binary64)
#s(literal 5/32 binary64)
#s(literal 11/128 binary64)
#s(literal 1/8 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
#s(literal 1 binary64)
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (* 3/8 (/ (pow x 2) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 8043/32768 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 3/8 (/ (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (* (/ (* x x) 3) 3/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (* x x) 3) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128))))))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128))))))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) #s(hole binary64 -11/128))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) #s(hole binary64 (- (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) #s(hole binary64 (- (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))
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Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@0
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14.0ms
x
@-inf
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9.0ms
x
@inf
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rewrite224.0ms (0.8%)

Memory
44.2MiB live, 275.1MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04618036
05405506
132895299
092515174
Stop Event
iter limit
node limit
iter limit
Counts
122 → 399
Calls
Call 1
Inputs
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(-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64))
(cos.f64 (atan.f64 x))
(atan.f64 x)
#s(literal 1 binary64)
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(*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 8043/32768 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* 3/8 (/ (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* 275/1024 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1 (/ (* (+ (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* 39/128 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 3/8 (/ (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 3/8 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (* (/ (* x x) 3) 3/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (* x x) 3) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128))))))
#s(approx (* (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128))))))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))))
#s(approx (+ (* (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) #s(hole binary64 -11/128))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) #s(hole binary64 (- (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) #s(hole binary64 (- (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) 11/128)))
#s(approx (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) #s(hole binary64 (* (pow x 2) (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2)))))))))
#s(approx (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) #s(hole binary64 (* (pow x 2) (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2)))))))))
#s(approx (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) #s(hole binary64 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
#s(approx (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) #s(hole binary64 (- (+ 121/1536 (* -1 (* (pow x 2) (+ 2681/32768 (+ (* -1/8 (- 121/1536 (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))) (+ (* -11/384 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))) (* 1/24 (- (* -69/512 (/ (sqrt 1/2) (sqrt 2))) 5/32)))))))) (* 1/24 (+ 3/16 (* 11/64 (/ (sqrt 1/2) (sqrt 2))))))))
#s(approx (neg (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (/ (- (pow (+ (* 1/2 (+ (cos (atan x)) 1)) 1) -1) (/ (* (pow (+ (cos (atan x)) 1) 2) 1/4) (+ (* 1/2 (+ (cos (atan x)) 1)) 1))) (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2)))) #s(hole binary64 (/ (- (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))) (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))) (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))))
#s(approx (- (pow (+ (* 1/2 (+ (cos (atan x)) 1)) 1) -1) (/ (* (pow (+ (cos (atan x)) 1) 2) 1/4) (+ (* 1/2 (+ (cos (atan x)) 1)) 1))) #s(hole binary64 (- (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))) (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x))))))))))
#s(approx (pow (+ (* 1/2 (+ (cos (atan x)) 1)) 1) -1) #s(hole binary64 (/ 1 (+ 1 (* 1/2 (+ 1 (cos (atan x))))))))
#s(approx (+ (* 1/2 (+ (cos (atan x)) 1)) 1) #s(hole binary64 (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))
#s(approx (+ (cos (atan x)) 1) #s(hole binary64 (+ 1 (cos (atan x)))))
#s(approx (cos (atan x)) #s(hole binary64 (cos (atan x))))
#s(approx (atan x) #s(hole binary64 (atan x)))
#s(approx (/ (* (pow (+ (cos (atan x)) 1) 2) 1/4) (+ (* 1/2 (+ (cos (atan x)) 1)) 1)) #s(hole binary64 (* 1/4 (/ (pow (+ 1 (cos (atan x))) 2) (+ 1 (* 1/2 (+ 1 (cos (atan x)))))))))
#s(approx (* (pow (+ (cos (atan x)) 1) 2) 1/4) #s(hole binary64 (* 1/4 (pow (+ 1 (cos (atan x))) 2))))
#s(approx (pow (+ (cos (atan x)) 1) 2) #s(hole binary64 (pow (+ 1 (cos (atan x))) 2)))
#s(approx (+ 1 (sqrt (* (+ (cos (atan x)) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x))))))))
#s(approx (sqrt (* (+ (cos (atan x)) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt (+ 1 (cos (atan x)))))))
#s(approx (* (+ (cos (atan x)) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (cos (atan x))))))
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#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) #s(hole binary64 (- (+ (* -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))))) (+ (* 1/8 (/ (* (sqrt 1/2) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (+ 1/2 (* 1/2 (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 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* -3/16 (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 (* 1/2 (sqrt 1/2))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (sqrt 1/2))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/8 (/ (* (sqrt 1/2) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/2 (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))))))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 3/8 binary64)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 x x)) #s(literal 3 binary64))
(*.f64 x (/.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -3 binary64))
(/.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 3 binary64)
#s(literal 3/8 binary64)
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal -11/384 binary64) (+.f64 #s(literal 7127/98304 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
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(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal -11/384 binary64) (+.f64 #s(literal 7127/98304 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal -11/384 binary64) (+.f64 #s(literal 7127/98304 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal -11/384 binary64) (+.f64 #s(literal 7127/98304 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal -11/384 binary64) (+.f64 #s(literal 7127/98304 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
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#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (neg.f64 (*.f64 #s(literal 1843/32768 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) 11/128) (*.f64 (-.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (/.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) (neg.f64 (*.f64 #s(literal 1843/32768 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (* x x)) (*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1843/32768 binary64)))
#s(approx (+ (* (neg (* x x)) (+ (+ (* (* (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 11/384) -1) 2681/32768) (+ (* -3/8 (/ (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8)) 3)) (* (/ (- (/ (* -1/2 (* 69/256 (sqrt 1/2))) (sqrt 2)) 5/32) 9) 3/8)))) (- 121/1536 (* (/ (+ (* (* (sqrt 1/2) (/ 11/32 (sqrt 2))) 1/2) 3/16) 9) 3/8))) (*.f64 (+.f64 #s(literal -1843/32768 binary64) (/.f64 #s(literal 69/1024 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 3/16 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64)) x))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -3/64 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))) x)) (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64))))) x) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 13/128 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -3/64 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))))) x) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -3/64 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal -1/8 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))))) x)) (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 3/2 binary64) #s(literal 1/4 binary64))))) x) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))

eval157.0ms (0.6%)

Memory
-29.1MiB live, 305.2MiB allocated; 22ms collecting garbage
Compiler

Compiled 106 921 to 4 804 computations (95.5% saved)

prune17.3s (65.5%)

Memory
22.0MiB live, 30 612.6MiB allocated; 439ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New7910791
Fresh000
Picked033
Done011
Total7914795
Accuracy
100.0%
Counts
795 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
78.2%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
47.1%
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
48.4%
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
Compiler

Compiled 1 069 to 317 computations (70.3% saved)

regimes25.0ms (0.1%)

Memory
-8.4MiB live, 39.1MiB allocated; 1ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Calls

7 calls:

4.0ms
x
4.0ms
(-.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))))))
4.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms
(hypot.f64 #s(literal 1 binary64) x)
3.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes21.0ms (0.1%)

Memory
-15.6MiB live, 32.9MiB allocated; 1ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Calls

7 calls:

3.0ms
x
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
3.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(-.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%2(hypot.f64 #s(literal 1 binary64) x)
99.9%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.9%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.9%2(*.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%2(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%2(-.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%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes17.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
Calls

7 calls:

3.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(-.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))))))
2.0ms
(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%2(hypot.f64 #s(literal 1 binary64) x)
99.9%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.9%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.9%2(*.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%2(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%2(-.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%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes15.0ms (0.1%)

Memory
-22.7MiB live, 25.0MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Calls

7 calls:

2.0ms
x
2.0ms
(-.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))))))
2.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(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
99.2%2(hypot.f64 #s(literal 1 binary64) x)
99.2%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.2%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.2%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.2%2(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)))))
99.2%2(-.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))))))
99.2%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes13.0ms (0%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(approx (+ 1 (- (pow x 4) (* 1 (* x x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))))
Calls

7 calls:

2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(-.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))))))
2.0ms
(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
99.1%2(hypot.f64 #s(literal 1 binary64) x)
99.1%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.1%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.1%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.1%2(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)))))
99.1%2(-.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))))))
99.1%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes9.0ms (0%)

Memory
-30.8MiB live, 17.0MiB allocated; 1ms collecting garbage
Accuracy

Total -1.2b remaining (-3.7%)

Threshold costs -1.2b (-3.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
Calls

7 calls:

1.0ms
(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)))))
1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(-.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
48.4%1(hypot.f64 #s(literal 1 binary64) x)
48.4%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
48.4%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
48.4%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
48.4%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)))))
48.4%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))))))
48.4%1x
Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch16.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.0019424177913049921
0.0912754148243154
Samples
8.0ms112×0valid
Compiler

Compiled 1 518 to 657 computations (56.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-hypot: 2.0ms (37.8% of total)
ival-div: 1.0ms (18.9% of total)
ival-add: 1.0ms (18.9% of total)
ival-mult: 1.0ms (18.9% of total)
ival-sub: 1.0ms (18.9% of total)
ival-sqrt: 1.0ms (18.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
0.0019424177913049921
0.0912754148243154
Compiler

Compiled 1 378 to 601 computations (56.4% saved)

bsearch6.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
0.0019424177913049921
0.0912754148243154
Samples
2.0ms32×0valid
Compiler

Compiled 1 455 to 608 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-hypot: 1.0ms (66.9% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-43.5MiB live, 4.1MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
0.0019424177913049921
0.0912754148243154
Compiler

Compiled 1 322 to 587 computations (55.6% saved)

bsearch18.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
0.0912754148243154
1773.0013433242002
Samples
9.0ms128×0valid
Compiler

Compiled 1 620 to 741 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-hypot: 2.0ms (32.6% of total)
ival-div: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
ival-mult: 1.0ms (16.3% of total)
ival-sub: 1.0ms (16.3% of total)
ival-sqrt: 1.0ms (16.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify54.0ms (0.2%)

Memory
-4.7MiB live, 44.0MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231063
11951063
24461027
313291027
455001027
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (cos.f64 (atan.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(if (<=.f64 x #s(literal 8358680908399641/288230376151711744 binary64)) #s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 11/384 binary64)) #s(literal -1 binary64) #s(literal 2681/32768 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/32 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (-.f64 #s(literal 121/1536 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 3/16 binary64)) #s(literal 9 binary64)) #s(literal 3/8 binary64)))) (*.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))))))
#s(approx (/ (- 1 (pow (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) 3/2)) (+ 1 (+ (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2) (* 1 (sqrt (* (+ (pow (/ (sqrt (+ 1 (pow x 6))) (sqrt (+ 1 (- (pow x 4) (* 1 (* x x)))))) -1) 1) 1/2)))))) (*.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3/8 binary64)))
Outputs
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derivations184.0ms (0.7%)

Memory
25.9MiB live, 169.2MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 1 113 to 127 computations (88.6% saved)

preprocess53.0ms (0.2%)

Memory
-34.3MiB live, 63.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 686 to 452 computations (83.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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