Ian Simplification

Time bar (total: 12.1s)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory
5.4MiB live, 5.4MiB 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 (27.5%)

Memory
-43.0MiB live, 1 938.7MiB allocated; 536ms collecting garbage
Samples
1.7s3 389×2valid
1.2s4 729×1valid
29.0ms138×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-asin: 1.7s (64.7% of total)
adjust: 300.0ms (11.5% of total)
ival-sqrt: 241.0ms (9.2% of total)
ival-mult!: 156.0ms (6% of total)
ival-sub!: 113.0ms (4.3% of total)
ival-div!: 109.0ms (4.2% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess52.0ms (0.4%)

Memory
-10.7MiB live, 33.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
18139
231439
3168339
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.4%
(-.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)

series139.0ms (1.1%)

Memory
24.4MiB live, 66.0MiB allocated; 16ms 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))))) (-.f64 (*.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 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#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)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePointExpression
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)
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)

rewrite2.3s (19.3%)

Memory
56.0MiB live, 1 494.4MiB allocated; 476ms collecting garbage
Counts
11 → 2 031
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
(*.f64 (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (acos.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 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (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)))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (neg.f64 (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (PI.f64))))
(+.f64 (-.f64 (*.f64 (acos.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 0 binary64))
(+.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.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)) (neg.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.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)))) (neg.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (acos.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 (PI.f64)) (fma.f64 (acos.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 (PI.f64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (acos.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)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (*.f64 (acos.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 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (neg.f64 (acos.f64 (neg.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)))) (PI.f64)))
(-.f64 (neg.f64 (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (PI.f64))) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (-.f64 (*.f64 (acos.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 0 binary64))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (acos.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 1 binary64))
(/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 #s(literal 1 binary64)))
(/.f64 (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (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)))) (neg.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (acos.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)))))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (acos.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)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)))
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(fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x x) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x x) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64)))
(neg.f64 (neg.f64 x))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))

eval497.0ms (4.1%)

Memory
17.1MiB live, 431.3MiB allocated; 169ms collecting garbage
Compiler

Compiled 22 972 to 8 936 computations (61.1% saved)

prune84.0ms (0.7%)

Memory
-6.1MiB live, 90.7MiB allocated; 17ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2 04182 049
Fresh000
Picked101
Done000
Total2 04282 050
Accuracy
10.0%
Counts
2 050 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (neg.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))))))
7.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))))
7.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
▶4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
▶6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
▶9.1%
(-.f64 (*.f64 (acos.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)))
▶7.4%
(-.f64 (acos.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)))))
7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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 262 to 240 computations (8.4% saved)

series180.0ms (1.5%)

Memory
-8.9MiB live, 127.8MiB allocated; 65ms collecting garbage
Counts
32 → 55
Calls
Call 1
Inputs
(-.f64 (*.f64 (acos.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 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #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(literal 2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/4 binary64)
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (acos.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)) (-.f64 (acos.f64 (neg.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 (acos.f64 (neg.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)))))
(acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Outputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (acos (sqrt (/ (- 1 x) 2))) 2) (*.f64 #s(literal 2 binary64) (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 (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#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 (* -1/4 (/ x (sqrt 1/2))) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ x (sqrt 1/2)) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.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 (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))))) (-.f64 (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (-.f64 (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (acos (neg (sqrt (/ (- 1 x) 2)))) (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (-.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (*.f64 x (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 x (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (acos (sqrt (/ (- 1 x) 2))) 2) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 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) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (/ (PI) 2) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))))) (-.f64 (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (-.f64 (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (acos (neg (sqrt (/ (- 1 x) 2)))) (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (neg (sqrt (/ (- 1 x) 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64)))))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (* (acos (sqrt (/ (- 1 x) 2))) 2) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x 2 (/ (PI) 2) (PI) (- (/ (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 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))) -1/4 (/ x (sqrt 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (- (/ (PI) 2) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))))) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (acos (neg (sqrt (/ (- 1 x) 2)))) (neg (sqrt (/ (- 1 x) 2))))
3.0ms
x
@-inf
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (* (acos (sqrt (/ (- 1 x) 2))) 2) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x 2 (/ (PI) 2) (PI) (- (/ (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 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))) -1/4 (/ x (sqrt 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (- (/ (PI) 2) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))))) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (acos (neg (sqrt (/ (- 1 x) 2)))) (neg (sqrt (/ (- 1 x) 2))))
3.0ms
x
@0
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (* (acos (sqrt (/ (- 1 x) 2))) 2) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 x 2 (/ (PI) 2) (PI) (- (/ (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 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))) -1/4 (/ x (sqrt 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (- (/ (PI) 2) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))))) (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (acos (neg (sqrt (/ (- 1 x) 2)))) (neg (sqrt (/ (- 1 x) 2))))

rewrite1.3s (10.6%)

Memory
-32.3MiB live, 542.8MiB allocated; 234ms collecting garbage
Counts
32 → 791
Calls
Call 1
Inputs
(-.f64 (*.f64 (acos.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 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #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(literal 2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/4 binary64)
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (acos.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)) (-.f64 (acos.f64 (neg.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 (acos.f64 (neg.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)))))
(acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Outputs
(*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)))
(*.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(+.f64 (neg.f64 (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)))))
(+.f64 (neg.f64 (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.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)) (PI.f64)) (*.f64 (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)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))))
(+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (acos.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 (acos.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)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (acos.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 (PI.f64) #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 (acos.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 1 binary64))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)) (neg.f64 (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))) (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (PI.f64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))))
(fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 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)))))
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(fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 0 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 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 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 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 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 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 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 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.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)) #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 (neg.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))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (-.f64 (neg.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))))))
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64))))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (/.f64 (PI.f64) #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)))))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 0 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (PI.f64))
(+.f64 #s(literal 0 binary64) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (acos.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)))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (-.f64 (PI.f64) #s(literal 0 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.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) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 (neg.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) (PI.f64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 #s(literal 2 binary64)) (neg.f64 (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 1 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 1 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (PI.f64) (PI.f64)) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))

eval207.0ms (1.7%)

Memory
-4.3MiB live, 131.8MiB allocated; 46ms collecting garbage
Compiler

Compiled 15 222 to 4 337 computations (71.5% saved)

prune31.0ms (0.3%)

Memory
31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 287101 297
Fresh213
Picked415
Done000
Total1 293121 305
Accuracy
10.3%
Counts
1 305 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓4.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
▶6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
6.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
▶6.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
8.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (-.f64 (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
7.4%
(-.f64 (-.f64 (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
▶5.6%
(-.f64 (*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
8.9%
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.3%
(-.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
▶7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
▶9.1%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
7.4%
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.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))))))
Compiler

Compiled 469 to 406 computations (13.4% saved)

series147.0ms (1.2%)

Memory
-17.8MiB live, 28.7MiB allocated; 6ms collecting garbage
Counts
37 → 47
Calls
Call 1
Inputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.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)
(acos.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))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(-.f64 (*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
(-.f64 (*.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))))))
(*.f64 #s(literal 2 binary64) (asin.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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) (acos.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))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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 (* 1/2 (- 1 x))))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#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 (/ x (sqrt 1/2)) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (+ (* x -1/4) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) x)))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (+ (* (/ x (sqrt 1/2)) -1/4) (sqrt 1/2)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ x (sqrt 1/2)) -1/4) (sqrt 1/2)) (*.f64 x (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (+ (* x -1/4) 1/2) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (+ (* x -1/4) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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) (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (* 1/2 (- 1 x))))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (* (/ x (sqrt 1/2)) -1/4) (sqrt 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (+ (* x -1/4) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) 2 (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) 1/2 (- 1 x) 1 x (* 1/2 (PI)) (PI) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (* (acos (sqrt (/ (- 1 x) 2))) 2) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (sqrt 1/2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x)))))) (* 2 (asin (sqrt (* 1/2 (- 1 x))))) (asin (sqrt (* 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)) (+ (* (/ x (sqrt 1/2)) -1/4) (sqrt 1/2)) (/ x (sqrt 1/2)) -1/4 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2)))
2.0ms
x
@inf
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) 2 (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) 1/2 (- 1 x) 1 x (* 1/2 (PI)) (PI) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (* (acos (sqrt (/ (- 1 x) 2))) 2) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (sqrt 1/2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x)))))) (* 2 (asin (sqrt (* 1/2 (- 1 x))))) (asin (sqrt (* 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)) (+ (* (/ x (sqrt 1/2)) -1/4) (sqrt 1/2)) (/ x (sqrt 1/2)) -1/4 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2)))
2.0ms
x
@0
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) 2 (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) 1/2 (- 1 x) 1 x (* 1/2 (PI)) (PI) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (* (acos (sqrt (/ (- 1 x) 2))) 2) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (sqrt 1/2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (- (* 1/2 (PI)) (* 2 (asin (sqrt (* 1/2 (- 1 x)))))) (* 2 (asin (sqrt (* 1/2 (- 1 x))))) (asin (sqrt (* 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)) (+ (* (/ x (sqrt 1/2)) -1/4) (sqrt 1/2)) (/ x (sqrt 1/2)) -1/4 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2)))

rewrite1.1s (9.1%)

Memory
15.5MiB live, 406.9MiB allocated; 70ms collecting garbage
Counts
37 → 771
Calls
Call 1
Inputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.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)
(acos.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))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(-.f64 (*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
(-.f64 (*.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))))))
(*.f64 #s(literal 2 binary64) (asin.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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -1/4 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 #s(literal 2 binary64))))
(-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (fma.f64 (neg.f64 #s(literal 1/2 binary64)) (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 (PI.f64) (neg.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (PI.f64)) (+.f64 (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 #s(literal 2 binary64))))
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#s(literal 2 binary64)
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(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/2 binary64) (neg.f64 #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))

eval189.0ms (1.6%)

Memory
-24.5MiB live, 205.8MiB allocated; 69ms collecting garbage
Compiler

Compiled 11 775 to 5 596 computations (52.5% saved)

prune33.0ms (0.3%)

Memory
16.2MiB live, 62.1MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1 16661 172
Fresh336
Picked235
Done101
Total1 172121 184
Accuracy
10.3%
Counts
1 184 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
3.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) #s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
▶8.9%
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶4.3%
(-.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
✓7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
4.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
7.4%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (fma.f64 (neg.f64 #s(literal 1/2 binary64)) (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
▶9.0%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓9.1%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
▶5.6%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
▶8.4%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
7.4%
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.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))))))
Compiler

Compiled 497 to 444 computations (10.7% saved)

series197.0ms (1.6%)

Memory
-2.0MiB live, 181.9MiB allocated; 45ms collecting garbage
Counts
42 → 64
Calls
Call 1
Inputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal 2 binary64)
(acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))
(acos.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 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
(acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/4 binary64)
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #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)
(-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
Outputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (* 1/2 (PI))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))))) (acos.f64 (sqrt.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (+.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))
#s(approx (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (fma.f64 #s(literal -1/2 binary64) x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (neg (* x 1/2)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) (acos.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))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.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 (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* -1/4 (/ x (sqrt 1/2))) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ x (sqrt 1/2)) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (PI.f64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))))
#s(approx (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (*.f64 x (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (*.f64 x (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (* 1/2 (PI))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
#s(approx (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))))) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))))
#s(approx (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))))
#s(approx (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) x))))))
#s(approx (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (acos (sqrt (* 1/2 (- 1 x)))) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))) (PI.f64)))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (+.f64 (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (* 1/2 (PI))) (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))))) (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (sqrt 1/2) 1/2 (neg (* x 1/2)) (* x 1/2) x (* 1/2 (PI)) (PI) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (asin (sqrt (/ (- 1 x) 2))) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (* -1/4 (/ x (sqrt 1/2))) -1/4 (/ x (sqrt 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (/ (PI) 2))
4.0ms
x
@-inf
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (* 1/2 (PI))) (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))))) (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (sqrt 1/2) 1/2 (neg (* x 1/2)) (* x 1/2) x (* 1/2 (PI)) (PI) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (asin (sqrt (/ (- 1 x) 2))) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (* -1/4 (/ x (sqrt 1/2))) -1/4 (/ x (sqrt 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (/ (PI) 2))
3.0ms
x
@0
((- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) (* 1/2 (PI))) (* 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))))) 2 (acos (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))))) (sqrt (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2)))) (+ (* (sqrt 1/2) (sqrt 1/2)) (neg (* x 1/2))) (sqrt 1/2) 1/2 (neg (* x 1/2)) (* x 1/2) x (* 1/2 (PI)) (PI) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (* 1/2 (- 1 x)) (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (asin (sqrt (/ (- 1 x) 2))) (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (- (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (* 1/2 (PI))) (* 2 (acos (sqrt (* 1/2 (- 1 x))))) (acos (sqrt (* 1/2 (- 1 x)))) (sqrt (* 1/2 (- 1 x))) (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2)))) (* -1/4 (/ x (sqrt 1/2))) -1/4 (/ x (sqrt 1/2)) (- (acos (sqrt (/ (- 1 x) 2))) (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)))) (acos (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (- 1 x) 1 (- (PI) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2))) (+ (acos (sqrt (/ (- 1 x) 2))) (/ (PI) 2)) (/ (PI) 2))

rewrite2.0s (16.5%)

Memory
1.0MiB live, 348.5MiB allocated; 111ms collecting garbage
Counts
42 → 855
Calls
Call 1
Inputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))))
#s(literal 2 binary64)
(acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))
(acos.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 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
(acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
(asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
(acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/4 binary64)
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #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)
(-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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(-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (-.f64 (PI.f64) #s(literal 0 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (PI.f64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (PI.f64) (PI.f64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (PI.f64)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (PI.f64)) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (acos.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 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (+.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (PI.f64) (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (PI.f64)) (-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64) (-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (PI.f64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (PI.f64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (PI.f64) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))

eval175.0ms (1.4%)

Memory
22.0MiB live, 201.8MiB allocated; 38ms collecting garbage
Compiler

Compiled 16 904 to 6 161 computations (63.6% saved)

prune40.0ms (0.3%)

Memory
11.6MiB live, 58.0MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1 25961 265
Fresh044
Picked325
Done033
Total1 262151 277
Accuracy
10.4%
Counts
1 277 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
3.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) #s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
7.3%
(-.f64 (+.f64 (neg.f64 (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (PI.f64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.9%
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
8.7%
(-.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓4.3%
(-.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
✓7.4%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
4.3%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
7.5%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
7.4%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (fma.f64 (neg.f64 #s(literal 1/2 binary64)) (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
9.0%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (neg (* x 1/2)) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓9.1%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓5.6%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
8.4%
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
7.4%
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.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))))))
Compiler

Compiled 718 to 509 computations (29.1% saved)

regimes52.0ms (0.4%)

Memory
-33.9MiB live, 59.4MiB allocated; 5ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
(-.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) #s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
(-.f64 (*.f64 (acos.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (neg (* x 1/2)) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (acos (sqrt (/ (- 1 x) 2))) (asin (sqrt (/ (- 1 x) 2)))) (-.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))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (acos.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)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
(-.f64 (+.f64 (neg.f64 (acos.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (PI.f64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (- (acos (neg (sqrt (/ (- 1 x) 2)))) (acos (sqrt (/ (- 1 x) 2)))) (-.f64 (acos.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (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 (acos.f64 (neg.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 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (fma.f64 (neg.f64 #s(literal 1/2 binary64)) (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (-.f64 (+.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (PI.f64) (+.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

7 calls:

10.0ms
x
8.0ms
(-.f64 #s(literal 1 binary64) x)
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
6.0ms
(-.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))))))
6.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
9.1%1(-.f64 #s(literal 1 binary64) x)
9.1%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.1%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.1%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.1%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.1%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))))))
9.1%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes13.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Accuracy

Total -2.1b remaining (-3.4%)

Threshold costs -2.1b (-3.4%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (*.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.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)))))))
(-.f64 (acos.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (sqrt (/ (- 1 x) 2)) #s(approx (* (+ (* x -1/4) 1/2) (/ 1 (sqrt 1/2))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
Outputs
#s(approx (- (* (acos (sqrt (/ (- 1 x) 2))) 2) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Calls

7 calls:

2.0ms
x
2.0ms
(-.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))))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
5.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
5.6%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))))))
5.6%1(-.f64 #s(literal 1 binary64) x)
5.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.6%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

derivations1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 32 to 31 computations (3.1% saved)

preprocess23.0ms (0.2%)

Memory
-24.3MiB live, 27.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 45 to 42 computations (6.7% saved)

end0.0ms (0%)

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

Profiling

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