bug323 (missed optimization)

Time bar (total: 4.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.7s (39.8%)

Memory
18.7MiB live, 1 509.0MiB allocated; 954ms collecting garbage
Samples
1.1s4 034×2valid
359.0ms4 065×1valid
6.0ms157×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-acos: 834.0ms (69.3% of total)
adjust: 226.0ms (18.8% of total)
ival-sub!: 143.0ms (11.9% of total)
Bogosity

preprocess165.0ms (3.9%)

Memory
-8.2MiB live, 39.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0815
11815
23815
312715
475213
5689113
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Counts
4 → 8
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((acos (- 1 x)) (- 1 x) 1 x)
0.0ms
x
@inf
((acos (- 1 x)) (- 1 x) 1 x)
0.0ms
x
@0
((acos (- 1 x)) (- 1 x) 1 x)

rewrite67.0ms (1.6%)

Memory
8.0MiB live, 53.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02477
02572
19071
060871
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
12 → 35
Calls
Call 1
Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))

eval3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 184 to 109 computations (40.8% saved)

prune4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731
Accuracy
10.4%
Counts
31 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
7.0%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 156 to 116 computations (25.6% saved)

series9.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
23 → 24
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Calls

3 calls:

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

rewrite77.0ms (1.8%)

Memory
21.0MiB live, 66.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085548
0112398
1349396
02684394
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
47 → 308
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (- 1 x)) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 2)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Outputs
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))))
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#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

eval38.0ms (0.9%)

Memory
0.7MiB live, 49.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 079 to 1 127 computations (77.8% saved)

prune31.0ms (0.7%)

Memory
-7.1MiB live, 37.1MiB allocated; 7ms collecting garbage
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New26726293
Fresh101
Picked325
Done011
Total27129300
Accuracy
11.4%
Counts
300 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
11.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
6.1%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.9%
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
5.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
7.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
5.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
5.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
6.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
6.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
7.0%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
7.9%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 1 268 to 802 computations (36.8% saved)

series39.0ms (0.9%)

Memory
-3.7MiB live, 42.4MiB allocated; 3ms collecting garbage
Counts
50 → 62
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 16 binary64)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
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#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (- 1 x)) 4) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (- 1 x)) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2)) (- (PI) (acos (- 1 x))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2))))
#s(approx (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2)))
#s(approx (- (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (acos (- 1 x)))))
#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (- (PI) (acos (- 1 x)))))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (* (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))))
#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
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#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
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#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (+ 1 (* -1 x))) 4) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2)) (- (PI) (acos (+ 1 (* -1 x)))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2))))
#s(approx (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2)))
#s(approx (- (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (acos (+ 1 (* -1 x))))))
#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (- (PI) (acos (+ 1 (* -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (PI) 16 (* (PI) (/ (PI) 4)) (/ (PI) 4) 4 (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (* (asin (+ -1 x)) (asin (- 1 x))) (asin (+ -1 x)) (+ -1 x) -1 x (asin (- 1 x)) (- 1 x) 1 3 (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) (- (/ (PI) 2) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))))
13.0ms
x
@0
((/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (PI) 16 (* (PI) (/ (PI) 4)) (/ (PI) 4) 4 (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (* (asin (+ -1 x)) (asin (- 1 x))) (asin (+ -1 x)) (+ -1 x) -1 x (asin (- 1 x)) (- 1 x) 1 3 (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) (- (/ (PI) 2) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))))
10.0ms
x
@-inf
((/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (PI) 16 (* (PI) (/ (PI) 4)) (/ (PI) 4) 4 (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (* (asin (+ -1 x)) (asin (- 1 x))) (asin (+ -1 x)) (+ -1 x) -1 x (asin (- 1 x)) (- 1 x) 1 3 (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) (- (/ (PI) 2) (acos (- 1 x))) (acos (- 1 x)) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))))

rewrite213.0ms (5%)

Memory
21.7MiB live, 202.2MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02342468
03182575
111101406
097561392
Stop Event
iter-limit
node-limit
iter-limit
Counts
112 → 1 322
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 16 binary64)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (* (+ (asin (- 1 x)) (* 1/2 (PI))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))))
#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (- 1 x)) 4) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (- 1 x)) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2)) (- (PI) (acos (- 1 x))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2))))
#s(approx (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (- 1 x))) 2)))
#s(approx (- (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (acos (- 1 x)))))
#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (- (PI) (acos (- 1 x)))))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (* (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))))
#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (+ 1 (* -1 x))) 4) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2)) (- (PI) (acos (+ 1 (* -1 x)))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2))))
#s(approx (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (pow (- (* 1/2 (PI)) (acos (+ 1 (* -1 x)))) 2)))
#s(approx (- (/ (PI) 2) (acos (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (acos (+ 1 (* -1 x))))))
#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) #s(hole binary64 (- (PI) (acos (+ 1 (* -1 x))))))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
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(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
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#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (pow (asin (- 1 x)) 4) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
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#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 x) -1) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (asin (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (* x x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x))
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#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (pow (asin (- 1 x)) 4) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
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#s(approx (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))
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#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (asin (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
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eval191.0ms (4.5%)

Memory
8.0MiB live, 193.0MiB allocated; 27ms collecting garbage
Compiler

Compiled 24 967 to 5 334 computations (78.6% saved)

prune73.0ms (1.7%)

Memory
-41.6MiB live, 109.8MiB allocated; 40ms collecting garbage
Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New1 080261 106
Fresh71421
Picked415
Done033
Total1 091441 135
Accuracy
11.6%
Counts
1 135 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.1%
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.1%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.9%
(fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.3%
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
11.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
6.1%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
7.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
6.1%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.9%
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
5.6%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
5.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
5.7%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
4.9%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
5.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
5.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
5.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
6.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
3.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
7.0%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
11.3%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
7.9%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
7.9%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 2 169 to 1 477 computations (31.9% saved)

series29.0ms (0.7%)

Memory
4.4MiB live, 50.0MiB allocated; 5ms collecting garbage
Counts
59 → 66
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 16 binary64)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (+.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (* (+ (asin (- 1 x)) (* 1/2 (PI))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))))
#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (- x 1))))
#s(approx (+ -1 x) #s(hole binary64 -1))
#s(approx (+ -1 x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (- 1 x)) 4) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (- 1 x)) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1)))) (- (asin (- 1 x)) (* 1/2 (PI)))) (- (pow (asin (- x 1)) 2) (* 1/4 (pow (PI) 2))))))
#s(approx (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (- (pow (asin (- x 1)) 2) (* 1/4 (pow (PI) 2))) (- (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) #s(hole binary64 (- (pow (asin (- x 1)) 2) (* 1/4 (pow (PI) 2)))))
#s(approx (* (asin (- x 1)) (asin (- x 1))) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (* (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))))
#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (+ 1 (* -1 x))) 4) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (- (pow (asin (neg (+ 1 (* -1 x)))) 2) (* 1/4 (pow (PI) 2))))))
#s(approx (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (- (pow (asin (neg (+ 1 (* -1 x)))) 2) (* 1/4 (pow (PI) 2))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) #s(hole binary64 (- (pow (asin (neg (+ 1 (* -1 x)))) 2) (* 1/4 (pow (PI) 2)))))
#s(approx (* (asin (- x 1)) (asin (- x 1))) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (PI) 16 (* (PI) (/ (PI) 4)) (/ (PI) 4) 4 (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (* (asin (+ -1 x)) (asin (- 1 x))) (asin (+ -1 x)) (+ -1 x) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) 1 (/ 1 x) x (asin (- 1 x)) (- 1 x) 3 (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (/ (* (- (pow x -2) 1) x) (- (/ 1 x) -1)) (* (- (pow x -2) 1) x) (- (pow x -2) 1) (pow x -2) -2 (- (/ 1 x) -1) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (* 1/4 (PI)) 1/4 (* (asin (+ -1 x)) (asin (- 1 x))) (asin (+ -1 x)) (+ -1 x) (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2))) (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (* (asin (- x 1)) (asin (- x 1))) (asin (- x 1)) (- x 1) (- (asin (- 1 x)) (/ (PI) 2)))
7.0ms
x
@inf
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7.0ms
x
@0
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rewrite212.0ms (5%)

Memory
23.2MiB live, 246.9MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02592745
03521982
112581730
099121722
Stop Event
iter-limit
node-limit
iter-limit
Counts
125 → 1 014
Calls
Call 1
Inputs
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#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (* (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))))
#s(approx (/ (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#s(approx (asin (+ -1 x)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (+ -1 x) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (+ 1 (* -1 x))) 4) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 4)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (pow x -2) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (* (PI) (/ (PI) 4))) (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (- (pow (asin (neg (+ 1 (* -1 x)))) 2) (* 1/4 (pow (PI) 2))))))
#s(approx (/ (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (- (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (- (pow (asin (neg (+ 1 (* -1 x)))) 2) (* 1/4 (pow (PI) 2))) (- (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) #s(hole binary64 (- (pow (asin (neg (+ 1 (* -1 x)))) 2) (* 1/4 (pow (PI) 2)))))
#s(approx (* (asin (- x 1)) (asin (- x 1))) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (- (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Outputs
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#s(literal -1 binary64)
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#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (asin (- x 1)) (asin (- x 1))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (pow x -2) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (pow x -2) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (+ (* (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (* (PI) (/ (PI) 4))) (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/64 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)))))
#s(approx (pow (* (asin (+ -1 x)) (asin (- 1 x))) 3) (exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (* (asin (+ -1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x))))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))))
#s(approx (pow (asin (- 1 x)) 4) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)))
#s(approx (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (pow x -2) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (+ (* (* 1/4 (PI)) (PI)) (* (asin (+ -1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (asin (- x 1)) (asin (- x 1))) (* (PI) (/ (PI) 4))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (asin (- x 1)) (asin (- x 1))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (- (asin (- 1 x)) (/ (PI) 2)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))

eval273.0ms (6.4%)

Memory
25.9MiB live, 264.3MiB allocated; 62ms collecting garbage
Compiler

Compiled 33 468 to 5 541 computations (83.4% saved)

prune203.0ms (4.8%)

Memory
-23.7MiB live, 220.5MiB allocated; 38ms collecting garbage
Pruning

73 alts after pruning (67 fresh and 6 done)

PrunedKeptTotal
New1 095381 133
Fresh62935
Picked325
Done044
Total1 104731 177
Accuracy
11.7%
Counts
1 177 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.1%
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.1%
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.1%
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.9%
(fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
11.2%
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(literal 256 binary64)) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)))))) (/.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.1%
(/.f64 (fma.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.2%
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64))) (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (/.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.7%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))))
4.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.3%
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
6.6%
(/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))) (acos.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))) (acos.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
8.1%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 16 binary64) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))))) #s(literal 16 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (-.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
11.3%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.7%
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.3%
(/.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.6%
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.6%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
11.2%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
6.1%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.6%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.9%
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
7.7%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.3%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.1%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
7.9%
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.9%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
5.6%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
5.0%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
5.7%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
4.9%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
5.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
5.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
5.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
5.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
6.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
3.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
7.0%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
11.3%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
7.9%
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
7.9%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
7.9%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
11.2%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
7.9%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 5 238 to 2 452 computations (53.2% saved)

regimes73.0ms (1.7%)

Memory
-7.1MiB live, 140.0MiB allocated; 16ms collecting garbage
Counts
97 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 16 binary64) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))))) #s(literal 16 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(literal 256 binary64)) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (-.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)))))) (/.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (PI.f64) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(approx (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (- (pow (asin (- 1 x)) 4) (* (* (PI) (/ (PI) 4)) (* (asin (+ -1 x)) (asin (- 1 x)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

25.0ms
x
22.0ms
(-.f64 #s(literal 1 binary64) x)
18.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.3%1(-.f64 #s(literal 1 binary64) x)
11.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.3%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes75.0ms (1.8%)

Memory
27.5MiB live, 72.9MiB allocated; 4ms collecting garbage
Counts
69 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 #s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

47.0ms
x
12.0ms
(-.f64 #s(literal 1 binary64) x)
11.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.3%1(-.f64 #s(literal 1 binary64) x)
11.3%1x
11.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes45.0ms (1.1%)

Memory
3.7MiB live, 50.4MiB allocated; 2ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (- (/ (PI) 2) (acos (- 1 x))) (- (/ (PI) 2) (acos (- 1 x))))) (+ (/ (PI) 2) (- (/ (PI) 2) (acos (- 1 x))))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

26.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.0ms
x
7.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
11.3%1(-.f64 #s(literal 1 binary64) x)
11.3%1x
11.3%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes21.0ms (0.5%)

Memory
-5.7MiB live, 39.8MiB allocated; 3ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

7.0ms
x
7.0ms
(-.f64 #s(literal 1 binary64) x)
5.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
11.3%2x
11.3%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
11.3%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes19.0ms (0.5%)

Memory
-16.3MiB live, 36.6MiB allocated; 4ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 #s(approx (- (pow x -2) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x x) (*.f64 x x)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

8.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) x)
4.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.4%2(-.f64 #s(literal 1 binary64) x)
10.4%2x
10.4%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) x)
2.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.3%2(-.f64 #s(literal 1 binary64) x)
10.3%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.3%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
7.0%1(-.f64 #s(literal 1 binary64) x)
7.0%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
7.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes20.0ms (0.5%)

Memory
-40.4MiB live, 7.0MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

18.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
3.8%1(-.f64 #s(literal 1 binary64) x)
3.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.4703483581542975e-8
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch16.0ms (0.4%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.1880784986218582e-19
9.934723729822511e-16
Samples
10.0ms128×1valid
Compiler

Compiled 215 to 224 computations (-4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-acos: 4.0ms (58.7% of total)
adjust: 2.0ms (29.4% of total)
ival-sub!: 1.0ms (14.7% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1880784986218582e-19
9.934723729822511e-16
Compiler

Compiled 87 to 104 computations (-19.5% saved)

derivations495.0ms (11.6%)

Memory
26.1MiB live, 257.3MiB allocated; 26ms collecting garbage
Stop Event
fuel
Compiler

Compiled 193 to 100 computations (48.2% saved)

preprocess158.0ms (3.7%)

Memory
-6.4MiB live, 248.9MiB allocated; 104ms collecting garbage
Compiler

Compiled 197 to 104 computations (47.2% saved)

end0.0ms (0%)

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

Profiling

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