Ian Simplification

Time bar (total: 6.9s)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory
3.8MiB live, 3.8MiB 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)

sample3.4s (49.1%)

Memory
81.7MiB live, 3 700.5MiB allocated; 1.4s collecting garbage
Samples
1.9s3 416×2valid
1.1s4 693×1valid
9.0ms147×0valid
0.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-asin: 1.5s (59.5% of total)
adjust: 333.0ms (13.6% of total)
ival-sqrt: 257.0ms (10.5% of total)
ival-mult!: 158.0ms (6.4% of total)
ival-sub!: 155.0ms (6.3% of total)
ival-div!: 91.0ms (3.7% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess50.0ms (0.7%)

Memory
-35.9MiB live, 21.2MiB 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
▶7.3%
(-.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)

series11.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134593
Stop Event
1×iter-limit
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)

rewrite216.0ms (3.1%)

Memory
42.3MiB live, 272.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
01950
110250
240350
3196750
0823944
11723144
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
11 → 811
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 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (neg.f64 (PI.f64))) (-.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (PI.f64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (PI.f64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (neg.f64 (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (PI.f64))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (neg.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #s(literal -2 binary64))
(neg.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) #s(literal 4 binary64)))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x

eval122.0ms (1.8%)

Memory
16.5MiB live, 238.8MiB allocated; 53ms collecting garbage
Compiler

Compiled 8 491 to 3 458 computations (59.3% saved)

prune40.0ms (0.6%)

Memory
-46.6MiB live, 63.2MiB allocated; 35ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New8249833
Fresh000
Picked101
Done000
Total8259834
Accuracy
10.3%
Counts
834 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.3%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
7.3%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
8.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
▶9.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
6.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
7.3%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 4 binary64)))))))
▶7.2%
(-.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))))))
▶7.4%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Compiler

Compiled 270 to 246 computations (8.9% saved)

series19.0ms (0.3%)

Memory
-6.6MiB live, 38.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189976
Stop Event
1×iter-limit
Counts
37 → 47
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#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 (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))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #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 (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 #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)))))))
(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))))))
(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)))))
#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 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
Outputs
#s(approx (- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.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 (+ (* x -1/2) 1/2)) (+.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 (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 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 (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2) (*.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 (- (/ (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))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (/ (PI) 2) (PI) 2 (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 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)) (/ (- 1 x) 2) (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 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)) (/ (- 1 x) 2) (* x (- (* 1/2 (/ 1 x)) 1/2)) (- (* 1/2 (/ 1 x)) 1/2) (* 1/2 (/ 1 x)) (/ 1 x) 1 (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (pow (PI) 2/3) 2/3 (* (cbrt (PI)) 1/2) (cbrt (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) -2)
3.0ms
x
@0
((- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (/ (PI) 2) (PI) 2 (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 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)) (/ (- 1 x) 2) (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 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)) (/ (- 1 x) 2) (* x (- (* 1/2 (/ 1 x)) 1/2)) (- (* 1/2 (/ 1 x)) 1/2) (* 1/2 (/ 1 x)) (/ 1 x) 1 (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (pow (PI) 2/3) 2/3 (* (cbrt (PI)) 1/2) (cbrt (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) -2)
3.0ms
x
@-inf
((- (/ (PI) 2) (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2))) (/ (PI) 2) (PI) 2 (+ (PI) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) (* (neg (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 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)) (/ (- 1 x) 2) (- (acos (sqrt (+ (* x -1/2) 1/2))) (asin (sqrt (+ (* x -1/2) 1/2)))) (asin (sqrt (+ (* x -1/2) 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)) (/ (- 1 x) 2) (* x (- (* 1/2 (/ 1 x)) 1/2)) (- (* 1/2 (/ 1 x)) 1/2) (* 1/2 (/ 1 x)) (/ 1 x) 1 (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (pow (PI) 2/3) 2/3 (* (cbrt (PI)) 1/2) (cbrt (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2)))) -2)

rewrite258.0ms (3.7%)

Memory
52.9MiB live, 333.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039284
069265
1316254
21228246
36026246
08174241
116812241
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
37 → 1 864
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#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 (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))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #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 (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 #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)))))))
(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))))))
(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)))))
#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 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
Outputs
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -2 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal -2 binary64))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(literal 1 binary64)
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(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (PI.f64)))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))
(-.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (neg.f64 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal -1 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (PI.f64)))
(+.f64 (neg.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (PI.f64))))
(+.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))
#s(literal -2 binary64)

eval313.0ms (4.5%)

Memory
6.6MiB live, 562.2MiB allocated; 101ms collecting garbage
Compiler

Compiled 25 977 to 7 471 computations (71.2% saved)

prune148.0ms (2.1%)

Memory
-22.6MiB live, 121.0MiB allocated; 24ms collecting garbage
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New2 200222 222
Fresh314
Picked415
Done000
Total2 207242 231
Accuracy
10.5%
Counts
2 231 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
6.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.4%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
6.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
7.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
▶7.3%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
7.1%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
7.2%
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
7.4%
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
7.3%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
7.2%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
▶4.3%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
7.3%
(-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.9%
(-.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))
5.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
3.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))))
7.1%
(-.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 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))))
7.1%
(-.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 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1/2 binary64))))))))
▶4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))))
▶9.0%
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
▶6.7%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
9.0%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓7.4%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
4.3%
(-.f64 (acos.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)))))
Compiler

Compiled 846 to 772 computations (8.7% saved)

series14.0ms (0.2%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0192959
Stop Event
1×iter-limit
Counts
39 → 46
Calls
Call 1
Inputs
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(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 -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 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
Outputs
#s(approx (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (+.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 (+ (* -1/2 x) 1/2)) (+.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 (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx x x)
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (fma.f64 #s(literal -2 binary64) (asin.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 (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (acos (sqrt (+ (* -1/2 x) 1/2))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.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 (+ (* -1/2 x) 1/2)) (*.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 (+ (* -1/2 x) 1/2)) (*.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 (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (asin (sqrt (+ (* -1/2 x) 1/2))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (neg (acos (sqrt (+ (* -1/2 x) 1/2)))) (*.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (*.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 (+ (* -1/2 x) 1/2)) (*.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 (+ (* -1/2 x) 1/2)) (*.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 (+ (* -1/2 x) 1/2) (*.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 (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (fma.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))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#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 (- (/ (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)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 2 (* 1/2 (PI)) (PI) (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) -2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* x (- (* 1/2 (/ 1 x)) 1/2)) (- (* 1/2 (/ 1 x)) 1/2) (/ 1/2 x) (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (pow (PI) 2/3) 1/2) (pow (PI) 2/3) 2/3 (cbrt (PI)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (- (acos (sqrt (+ (* x -1/2) 1/2))) (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2)))))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) (* (cbrt (PI)) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2)))))
2.0ms
x
@inf
((- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 2 (* 1/2 (PI)) (PI) (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) -2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* x (- (* 1/2 (/ 1 x)) 1/2)) (- (* 1/2 (/ 1 x)) 1/2) (/ 1/2 x) (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (pow (PI) 2/3) 1/2) (pow (PI) 2/3) 2/3 (cbrt (PI)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (- (acos (sqrt (+ (* x -1/2) 1/2))) (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2)))))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) (* (cbrt (PI)) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2)))))
2.0ms
x
@0
((- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) -1/2 x 1/2 2 (* 1/2 (PI)) (PI) (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) -2 (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* x (- (* 1/2 (/ 1 x)) 1/2)) (- (* 1/2 (/ 1 x)) 1/2) (/ 1/2 x) (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2))))) (* (pow (PI) 2/3) 1/2) (pow (PI) 2/3) 2/3 (cbrt (PI)) (* -2 (asin (sqrt (+ (* -1/2 x) 1/2)))) (asin (sqrt (+ (* -1/2 x) 1/2))) (- (acos (sqrt (+ (* x -1/2) 1/2))) (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2)))))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (PI) 2/3) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) (* (cbrt (PI)) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2)))))

rewrite369.0ms (5.3%)

Memory
-6.2MiB live, 275.6MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045326
080289
1382280
21337280
36048280
08163276
116921276
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
39 → 2 028
Calls
Call 1
Inputs
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(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 -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 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(cbrt.f64 (PI.f64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
Outputs
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal -2 binary64)) (PI.f64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))) (-.f64 (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
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(/.f64 (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -1 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 1 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))

eval416.0ms (6%)

Memory
6.2MiB live, 753.3MiB allocated; 156ms collecting garbage
Compiler

Compiled 23 066 to 6 056 computations (73.7% saved)

prune113.0ms (1.6%)

Memory
-7.7MiB live, 226.9MiB allocated; 91ms collecting garbage
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New1 994122 006
Fresh81018
Picked235
Done011
Total2 004262 030
Accuracy
10.5%
Counts
2 030 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.4%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
6.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64)))
4.2%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64)))
✓7.3%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
▶6.7%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
7.2%
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
6.7%
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
7.4%
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
7.3%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶7.2%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
4.2%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓4.3%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
▶7.3%
(-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.9%
(-.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))
7.1%
(-.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 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))))))))))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (+.f64 (/.f64 #s(literal 2/3 binary64) (+.f64 x x)) (/.f64 #s(literal 1/3 binary64) (+.f64 x x))))))))))
▶5.7%
(-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
✓6.7%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
4.3%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))))
9.0%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
✓7.4%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
4.3%
(-.f64 (acos.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)))))
▶9.0%
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
Compiler

Compiled 898 to 828 computations (7.8% saved)

series21.0ms (0.3%)

Memory
-0.6MiB live, 46.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321274
Stop Event
1×iter-limit
Counts
39 → 54
Calls
Call 1
Inputs
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -4 binary64)
(PI.f64)
(-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -2 binary64)
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(cbrt.f64 (PI.f64))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) -1/2) (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (+.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 (+ (* x -1/2) 1/2)) (+.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 (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx x x)
#s(approx (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (fma.f64 #s(literal -2 binary64) (asin.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 (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (+ (* (* (pow (PI) 2/3) -1/2) (cbrt (PI))) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (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 -1/2 binary64) x)))))))
#s(approx (- (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (asin (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (+.f64 (asin.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (+.f64 (asin.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (asin (neg (sqrt (+ (* -1/2 x) 1/2)))) (asin.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
#s(approx (neg (sqrt (+ (* -1/2 x) 1/2))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (+ (* -1/2 x) 1/2))) (-.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 (+ (* -1/2 x) 1/2))) (-.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 (+ (* -1/2 x) 1/2))) (-.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 (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (* (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) -1/2) (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
#s(approx (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (acos (sqrt (+ (* x -1/2) 1/2))) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x -1/2) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (pow (PI) 2/3) -1/2) (cbrt (PI))) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (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 1/2 binary64) x)))))))
#s(approx (- (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (asin (sqrt (+ (* x -1/2) 1/2)))) (-.f64 (+.f64 (asin.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (+.f64 (asin.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (asin (neg (sqrt (+ (* -1/2 x) 1/2)))) (asin.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (neg (sqrt (+ (* -1/2 x) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (neg (sqrt (+ (* -1/2 x) 1/2))) (*.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 (+ (* -1/2 x) 1/2))) (*.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 (+ (* -1/2 x) 1/2))) (*.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 (asin (sqrt (+ (* x -1/2) 1/2))) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (sqrt (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2)) (*.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 (+ (* x -1/2) 1/2) (*.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 (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (fma.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))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#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 (neg (sqrt (+ (* -1/2 x) 1/2))) (*.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 (+ (* -1/2 x) 1/2))) (*.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
3.0ms
x
@inf
((* (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) -1/2) (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 1/2 -4 (PI) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) 2 (* 1/2 (PI)) (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) -2 (+ (* (* (pow (PI) 2/3) -1/2) (cbrt (PI))) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (* (pow (PI) 2/3) -1/2) (pow (PI) 2/3) 2/3 (cbrt (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (- (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (asin (sqrt (+ (* x -1/2) 1/2)))) (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (* (pow (PI) 2/3) 1/2) (asin (neg (sqrt (+ (* -1/2 x) 1/2)))) (neg (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (asin (sqrt (+ (* x -1/2) 1/2))))
3.0ms
x
@0
((* (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) -1/2) (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 1/2 -4 (PI) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) 2 (* 1/2 (PI)) (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) -2 (+ (* (* (pow (PI) 2/3) -1/2) (cbrt (PI))) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (* (pow (PI) 2/3) -1/2) (pow (PI) 2/3) 2/3 (cbrt (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (- (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (asin (sqrt (+ (* x -1/2) 1/2)))) (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (* (pow (PI) 2/3) 1/2) (asin (neg (sqrt (+ (* -1/2 x) 1/2)))) (neg (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (asin (sqrt (+ (* x -1/2) 1/2))))
3.0ms
x
@-inf
((* (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) -1/2) (+ (* (acos (sqrt (+ (* x -1/2) 1/2))) -4) (PI)) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) x -1/2 1/2 -4 (PI) (- (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))) (* (acos (sqrt (+ (* -1/2 x) 1/2))) 2) (acos (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) 2 (* 1/2 (PI)) (+ (* (asin (sqrt (/ (- 1 x) 2))) -2) (* 1/2 (PI))) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)) (/ (- 1 x) 2) (* (- (/ 1/2 x) 1/2) x) (- (/ 1/2 x) 1/2) (/ 1/2 x) -2 (+ (* (* (pow (PI) 2/3) -1/2) (cbrt (PI))) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (* (pow (PI) 2/3) -1/2) (pow (PI) 2/3) 2/3 (cbrt (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (- (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (asin (sqrt (+ (* x -1/2) 1/2)))) (+ (* (* (pow (PI) 2/3) 1/2) (cbrt (PI))) (asin (neg (sqrt (+ (* -1/2 x) 1/2))))) (* (pow (PI) 2/3) 1/2) (asin (neg (sqrt (+ (* -1/2 x) 1/2)))) (neg (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (+ (* -1/2 x) 1/2) (asin (sqrt (+ (* x -1/2) 1/2))))

rewrite269.0ms (3.9%)

Memory
-0.5MiB live, 405.0MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044272
079247
1340243
21251243
35468243
08159242
115934242
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
39 → 1 615
Calls
Call 1
Inputs
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -4 binary64)
(PI.f64)
(-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -2 binary64)
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(cbrt.f64 (PI.f64))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
Outputs
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))
(/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -2 binary64))
(neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)))))
(neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal -4 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (cbrt.f64 (fabs.f64 (PI.f64)))) (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
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(fma.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 1 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(-.f64 (PI.f64) (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 0 binary64))

eval376.0ms (5.4%)

Memory
52.4MiB live, 605.3MiB allocated; 143ms collecting garbage
Compiler

Compiled 18 056 to 4 846 computations (73.2% saved)

prune424.0ms (6.1%)

Memory
-90.1MiB live, 164.8MiB allocated; 645ms collecting garbage
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New1 64881 656
Fresh41317
Picked145
Done044
Total1 653291 682
Accuracy
10.5%
Counts
1 682 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.4%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
6.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64)))
4.2%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64)))
✓7.3%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
7.4%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
7.3%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
✓6.7%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
3.7%
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
3.7%
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
7.4%
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
7.4%
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
7.3%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓7.2%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
4.2%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
✓4.3%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.7%
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓7.3%
(-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
8.9%
(-.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))
7.1%
(-.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 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))))))))))
4.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (+.f64 (/.f64 #s(literal 2/3 binary64) (+.f64 x x)) (/.f64 #s(literal 1/3 binary64) (+.f64 x x))))))))))
✓6.7%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
4.3%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))))
✓7.4%
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
4.3%
(-.f64 (acos.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)))))
9.0%
(+.f64 (-.f64 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
✓9.0%
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
Compiler

Compiled 1 101 to 723 computations (34.3% saved)

regimes94.0ms (1.4%)

Memory
34.3MiB live, 262.6MiB allocated; 28ms collecting garbage
Counts
52 → 1
Calls
Call 1
Inputs
(fma.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (acos.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)))))
(-.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 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (asin.f64 (sqrt.f64 (fma.f64 x #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 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 4 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 (-.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (acos.f64 (sqrt.f64 (fma.f64 x #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 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 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 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (+.f64 (/.f64 #s(literal 2/3 binary64) (+.f64 x x)) (/.f64 #s(literal 1/3 binary64) (+.f64 x x))))))))))
(-.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 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1/2 binary64))))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 x (-.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2/3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x)))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (asin.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
Outputs
(*.f64 (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -4 binary64) (PI.f64)) #s(literal -1/2 binary64))
Calls

7 calls:

16.0ms
(-.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))))))
16.0ms
x
13.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
12.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
9.0%1(-.f64 #s(literal 1 binary64) x)
9.0%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.0%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.0%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.0%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.0%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))))))
9.0%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes21.0ms (0.3%)

Memory
-15.9MiB live, 45.6MiB allocated; 11ms collecting garbage
Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

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

7 calls:

9.0ms
(-.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
x
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))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
5.7%1x
5.7%1(-.f64 #s(literal 1 binary64) x)
5.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
5.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 44 to 41 computations (6.8% saved)

derivations153.0ms (2.2%)

Memory
-26.8MiB live, 107.1MiB allocated; 18ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 21 to 20 computations (4.8% saved)

preprocess82.0ms (1.2%)

Memory
38.9MiB live, 90.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 34 to 31 computations (8.8% saved)

end0.0ms (0%)

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

Profiling

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