Ian Simplification

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample3.3s (64.1%)

Memory
73.7MiB live, 3 637.9MiB allocated; 1.3s collecting garbage
Samples
1.8s3 338×2valid
1.0s4 788×1valid
8.0ms130×0valid
0.0ms4×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-asin: 1.4s (62.2% of total)
adjust: 284.0ms (12.3% of total)
ival-sqrt: 258.0ms (11.2% of total)
ival-sub!: 132.0ms (5.7% of total)
ival-mult!: 116.0ms (5% of total)
ival-div!: 83.0ms (3.6% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

explain294.0ms (5.6%)

Memory
-13.0MiB live, 484.3MiB allocated; 52ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2520-0-(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
00-0-(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
00-0-x
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))cancellation2520
Confusion
Predicted +Predicted -
+2520
-04
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-004
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms206×2valid
91.0ms294×1valid
1.0ms12×0valid
Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-asin: 108.0ms (67.7% of total)
adjust: 17.0ms (10.6% of total)
ival-sqrt: 12.0ms (7.5% of total)
ival-mult!: 11.0ms (6.9% of total)
ival-sub!: 6.0ms (3.8% of total)
ival-div!: 5.0ms (3.1% of total)
ival-pi: 0.0ms (0% of total)

preprocess89.0ms (1.7%)

Memory
-8.6MiB live, 37.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942
13842
27439
319139
465439
5307939
6782339
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 26 to 22 computations (15.4% saved)

series7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
11 → 29
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)
2.0ms
x
@inf
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)
1.0ms
x
@0
((- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (PI) 2 (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x)

rewrite53.0ms (1%)

Memory
25.2MiB live, 70.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150707
0161608
0767587
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
40 → 53
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 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 (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))

eval20.0ms (0.4%)

Memory
-33.0MiB live, 21.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 184 to 291 computations (75.4% saved)

prune6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New49655
Fresh000
Picked101
Done000
Total50656
Accuracy
11.1%
Counts
56 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
▶7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶9.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
▶8.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
▶7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
Compiler

Compiled 352 to 192 computations (45.5% saved)

series31.0ms (0.6%)

Memory
-20.2MiB live, 26.4MiB allocated; 3ms collecting garbage
Counts
41 → 110
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
Calls

3 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))
6.0ms
x
@0
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))
6.0ms
x
@inf
((- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) (/ (PI) 2) (PI) 2 (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (sqrt 2) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))

rewrite95.0ms (1.8%)

Memory
4.7MiB live, 96.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04203339
04842763
020812676
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
151 → 252
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 1/2))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* -1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/2 x) 1/2) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1/2)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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#s(approx x x)
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#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))) x))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (* (- (/ 1/2 x) 1/2) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (* 2 (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))

eval54.0ms (1%)

Memory
26.0MiB live, 122.1MiB allocated; 21ms collecting garbage
Compiler

Compiled 14 141 to 1 443 computations (89.8% saved)

prune25.0ms (0.5%)

Memory
-27.9MiB live, 64.0MiB allocated; 7ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New36614380
Fresh101
Picked505
Done000
Total37214386
Accuracy
11.1%
Counts
386 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 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(literal 2 binary64))))
8.1%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
9.6%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
7.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
▶3.9%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
Compiler

Compiled 1 324 to 654 computations (50.6% saved)

series28.0ms (0.5%)

Memory
14.5MiB live, 69.1MiB allocated; 6ms collecting garbage
Counts
50 → 119
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* -4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* -1/2 (sqrt 1/2))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
#s(approx (* (sqrt 1/2) x) #s(hole binary64 (* x (sqrt 1/2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* -1/8 (* (pow x 2) (sqrt 1/2)))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* -1/8 (sqrt 1/2)) (/ (sqrt 1/2) (pow x 2)))))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* -1/8 (* x (sqrt 1/2)))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* x (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* -4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) -1/8 (* (sqrt 1/2) x) (sqrt 1/2) (* -1/2 (sqrt 1/2)) -1/2)
8.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) -1/8 (* (sqrt 1/2) x) (sqrt 1/2) (* -1/2 (sqrt 1/2)) -1/2)
6.0ms
x
@inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) -1/8 (* (sqrt 1/2) x) (sqrt 1/2) (* -1/2 (sqrt 1/2)) -1/2)

rewrite125.0ms (2.4%)

Memory
-4.5MiB live, 135.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04704311
05483507
023943403
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
169 → 306
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
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(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
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#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
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#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
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#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
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#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
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#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
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#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)) (* 1/4 (pow (PI) 2)))))
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#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
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#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* -1/2 (sqrt 1/2))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
#s(approx (* (sqrt 1/2) x) #s(hole binary64 (* x (sqrt 1/2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* -1/8 (* (pow x 2) (sqrt 1/2)))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* -1/8 (sqrt 1/2)) (/ (sqrt 1/2) (pow x 2)))))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* -1/8 (* x (sqrt 1/2)))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* x (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (/ (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (+ (* -4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)) (* 1/4 (pow (PI) 2)))))
#s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* -4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x)))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(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)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 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 (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* 1/2 (- 1 x))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (- 1 x))) (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 (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
#s(approx (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 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 (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
#s(approx (* (sqrt 1/2) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x))
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#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))))
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#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64)))
#s(approx (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (/ (PI) 2) (/ (PI) 2)) (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) x) (sqrt 1/2)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x))) (*.f64 x x)))
#s(approx (+ (* -1/8 (* (sqrt 1/2) x)) (* -1/2 (sqrt 1/2))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))

eval113.0ms (2.2%)

Memory
-2.2MiB live, 134.7MiB allocated; 18ms collecting garbage
Compiler

Compiled 27 745 to 1 901 computations (93.1% saved)

prune49.0ms (0.9%)

Memory
5.0MiB live, 105.5MiB allocated; 10ms collecting garbage
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New52616542
Fresh189
Picked325
Done000
Total53026556
Accuracy
11.2%
Counts
556 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
6.6%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶9.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
8.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
▶9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
9.3%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 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(literal 2 binary64))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.8%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶6.6%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
9.6%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
7.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
▶7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
✓3.9%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
Compiler

Compiled 2 620 to 1 334 computations (49.1% saved)

series38.0ms (0.7%)

Memory
2.3MiB live, 95.0MiB allocated; 6ms collecting garbage
Counts
62 → 137
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) #s(hole binary64 (/ (* (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* -1/2 (sqrt 1/2))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* -1/8 (* (pow x 2) (sqrt 1/2)))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* -1/8 (sqrt 1/2)) (/ (sqrt 1/2) (pow x 2)))))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* -1/8 (* x (sqrt 1/2)))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) #s(hole binary64 (/ (* (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x)))))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (+ (* -1/2 x) 1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (* 1/2 (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (* (sqrt 1/2) -1/8) (sqrt 1/2) -1/8 (* (sqrt 1/2) -1/2))
11.0ms
x
@inf
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (+ (* -1/2 x) 1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (* 1/2 (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (* (sqrt 1/2) -1/8) (sqrt 1/2) -1/8 (* (sqrt 1/2) -1/2))
9.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (sqrt (- 1 x)) (- 1 x) 1 x (sqrt 2) (* (asin (sqrt (/ (- 1 x) 2))) 2) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) 1/2 (* -2 (asin (sqrt (* 1/2 (- 1 x))))) -2 (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (+ (* -1/2 x) 1/2) -1/2 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) (asin (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (* 1/2 (PI)) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (* (sqrt 1/2) -1/8) (sqrt 1/2) -1/8 (* (sqrt 1/2) -1/2))

rewrite121.0ms (2.3%)

Memory
24.2MiB live, 216.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05325517
06424366
026434251
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
199 → 410
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
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(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) #s(hole binary64 (/ (* (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))) (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))))
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#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 1/2))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2)))))
#s(approx (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (- 1 x)))) 2))))
#s(approx (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 1/2))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (- 1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))
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#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (- 1 x))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))) (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))
#s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))))
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#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* (sqrt x) (/ (sqrt -1) (sqrt 2)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* -1/8 (* (pow x 2) (sqrt 1/2)))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* -1/8 (sqrt 1/2)) (/ (sqrt 1/2) (pow x 2)))))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* -1/8 (* x (sqrt 1/2)))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)))) #s(hole binary64 (/ (* (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))) (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) #s(hole binary64 (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (/ (sqrt (- 1 x)) (sqrt 2))) #s(hole binary64 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) #s(hole binary64 (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (/ (- 1 x) 2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))) (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (pow (/ (PI) 2) 2) (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2)))))
#s(approx (pow (* (asin (sqrt (/ (- 1 x) 2))) 2) 2) #s(hole binary64 (* 4 (pow (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) 2))))
#s(approx (- (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) #s(hole binary64 (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) #s(hole binary64 (+ (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))) (* 1/2 (PI)))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) #s(hole binary64 (* -2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) #s(hole binary64 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))))
#s(approx (* 1/2 (- 1 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) #s(hole binary64 (* 4 (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))
#s(approx (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) #s(hole binary64 (* 2 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) #s(hole binary64 (acos (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))) (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))
#s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) #s(hole binary64 (* 4 (/ (* (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))) (+ (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (* -1/8 (sqrt 1/2))))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x)))))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
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#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* 1/2 (- 1 x))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (- 1 x))) (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 (sqrt (* 1/2 (- 1 x))) (fma.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 (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64)))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 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 (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (fma.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 (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (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(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 x x)))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) (* -2 (asin (sqrt (* 1/2 (- 1 x)))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal -2 binary64)))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (asin (sqrt (* 1/2 (- 1 x)))) 2) (* 1/2 (PI))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))))
#s(approx (* (* (- (/ (PI) 2) (acos (sqrt (/ (- 1 x) 2)))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))))
#s(approx (* (asin (sqrt (/ (- 1 x) 2))) 2) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))
#s(approx (acos (sqrt (/ (- 1 x) 2))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))) (asin.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) x) (sqrt 1/2)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x))) (*.f64 x x)))
#s(approx (+ (* (* (sqrt 1/2) -1/8) x) (* (sqrt 1/2) -1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))

eval114.0ms (2.2%)

Memory
-15.6MiB live, 268.6MiB allocated; 27ms collecting garbage
Compiler

Compiled 48 935 to 2 548 computations (94.8% saved)

prune67.0ms (1.3%)

Memory
23.6MiB live, 165.6MiB allocated; 4ms collecting garbage
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New74720767
Fresh71219
Picked415
Done022
Total75835793
Accuracy
11.3%
Counts
793 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
6.6%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
7.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
6.7%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
9.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
8.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
9.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 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(literal 2 binary64))))
6.6%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
6.7%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.6%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.6%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
✓4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
6.6%
(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
9.6%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
7.8%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.9%
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
9.7%
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))
5.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
✓7.8%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
✓3.9%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
Compiler

Compiled 5 904 to 1 459 computations (75.3% saved)

regimes91.0ms (1.7%)

Memory
-15.7MiB live, 174.6MiB allocated; 6ms collecting garbage
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
Calls

7 calls:

14.0ms
x
12.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
12.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
11.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
9.7%1(-.f64 #s(literal 1 binary64) x)
9.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.7%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes104.0ms (2%)

Memory
-16.0MiB live, 143.5MiB allocated; 60ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (asin.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Calls

7 calls:

41.0ms
x
11.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
10.0ms
(-.f64 #s(literal 1 binary64) x)
10.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
9.7%1(-.f64 #s(literal 1 binary64) x)
9.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.7%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes60.0ms (1.1%)

Memory
22.0MiB live, 166.8MiB allocated; 3ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 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(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(-.f64 #s(approx (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Calls

7 calls:

10.0ms
x
8.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
7.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
9.6%1(-.f64 #s(literal 1 binary64) x)
9.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.6%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes57.0ms (1.1%)

Memory
-3.2MiB live, 91.7MiB allocated; 2ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (sqrt (/ (- 1 x) 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(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 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(literal 2 binary64))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(approx (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Calls

7 calls:

22.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.0ms
x
5.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
5.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
9.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.6%1(-.f64 #s(literal 1 binary64) x)
9.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.6%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes45.0ms (0.9%)

Memory
4.8MiB live, 54.7MiB allocated; 1ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (/ (PI) 2) 2) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2))) (/ (* (* (asin (/ (sqrt (- 1 x)) (sqrt 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (+ (* (asin (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)))) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (* (neg (* (asin (sqrt (/ (- 1 x) 2))) 2)) (* (asin (sqrt (/ (- 1 x) 2))) 2)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (* (asin (sqrt (/ (- 1 x) 2))) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (+ (/ (PI) 2) (* (asin (sqrt (/ (- 1 x) 2))) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))))
Calls

7 calls:

24.0ms
x
3.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
3.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
9.6%1(-.f64 #s(literal 1 binary64) x)
9.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.6%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes12.0ms (0.2%)

Memory
-20.5MiB live, 27.0MiB allocated; 1ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
Calls

7 calls:

3.0ms
x
1.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
7.8%1(-.f64 #s(literal 1 binary64) x)
7.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.8%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
7.8%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes7.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
Calls

7 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
3.9%1(-.f64 #s(literal 1 binary64) x)
3.9%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
3.9%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
3.9%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
3.9%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.9%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
3.9%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

derivations77.0ms (1.5%)

Memory
-1.5MiB live, 93.8MiB allocated; 2ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 367 to 97 computations (73.6% saved)

preprocess89.0ms (1.7%)

Memory
0.7MiB live, 130.0MiB allocated; 17ms collecting garbage
Compiler

Compiled 764 to 220 computations (71.2% saved)

end0.0ms (0%)

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

Profiling

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