bug323 (missed optimization)

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample1.4s (50.5%)

Memory
45.9MiB live, 1 645.7MiB allocated; 293ms collecting garbage
Samples
659.0ms4 026×2valid
480.0ms4 075×1valid
14.0ms155×0valid
Precisions
Click to see histograms. Total time spent on operations: 863.0ms
ival-acos: 624.0ms (72.3% of total)
adjust: 162.0ms (18.8% of total)
ival-sub!: 77.0ms (8.9% of total)
Bogosity

explain102.0ms (3.7%)

Memory
-9.6MiB live, 88.1MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(acos.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms246×2valid
24.0ms254×1valid
1.0ms12×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-acos: 35.0ms (69.3% of total)
adjust: 9.0ms (17.8% of total)
ival-sub!: 7.0ms (13.9% of total)

preprocess64.0ms (2.3%)

Memory
-32.9MiB live, 13.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0815
11015
21315
32515
46613
528313
6225213
7569613
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

rewrite43.0ms (1.6%)

Memory
39.0MiB live, 39.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02477
02572
19071
061871
Stop Event
iter-limit
iter-limit
node-limit
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) (pow.f64 x #s(literal 3 binary64)))) (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) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.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 (pow.f64 x #s(literal 3 binary64)) (+.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 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.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 (pow.f64 x #s(literal -1 binary64)) #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) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))

eval3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 321 to 109 computations (66% saved)

prune8.0ms (0.3%)

Memory
-37.6MiB live, 7.7MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731
Accuracy
9.1%
Counts
31 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.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))))))
6.4%
(/.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))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
6.8%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 196 to 118 computations (39.8% saved)

series9.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
24 → 31
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(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 (* (- (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 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 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow x -1) 1) #s(hole binary64 -1))
#s(approx (- (pow x -1) 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 (* (- (pow x -1) 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) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (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) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (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) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (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))))

rewrite98.0ms (3.6%)

Memory
0.2MiB live, 97.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095628
0122474
1369471
02772469
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
55 → 337
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(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 (* (- (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 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 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow x -1) 1) #s(hole binary64 -1))
#s(approx (- (pow x -1) 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 (* (- (pow x -1) 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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 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 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
#s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))
(*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)
(*.f64 x (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (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 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x))))
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (neg.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)))) (neg.f64 (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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.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)))) (neg.f64 (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 6 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #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 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #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))))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #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)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#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 (* (- (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (- (pow x -1) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (pow x -1) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (pow x -1) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#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)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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 (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (- (pow x -1) 1) x) (neg.f64 x))
#s(approx (* (- (pow x -1) 1) x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (- (pow x -1) 1) #s(literal -1 binary64))
#s(approx (- (pow x -1) 1) (expm1.f64 (*.f64 (log.f64 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) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (* (- (pow x -1) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (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)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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))))

eval43.0ms (1.6%)

Memory
15.6MiB live, 60.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 038 to 1 422 computations (88.2% saved)

prune35.0ms (1.3%)

Memory
-10.6MiB live, 36.3MiB allocated; 3ms collecting garbage
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New37630406
Fresh101
Picked325
Done011
Total38033413
Accuracy
10.2%
Counts
413 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
10.0%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.4%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
10.0%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))
6.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 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)))))
9.9%
(/.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))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x 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))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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))))
6.4%
(/.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)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
4.6%
(/.f64 (-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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))))
6.4%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
6.4%
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.9%
(-.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))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
4.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
4.6%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
6.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
4.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
6.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
6.8%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
6.4%
#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 1 603 to 906 computations (43.5% saved)

series20.0ms (0.7%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
39 → 61
Calls
Call 1
Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(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)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 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)) (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 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (*.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)))
(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 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 (PI.f64) #s(literal 2 binary64)))
(/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 x #s(hole binary64 x))
#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 (+ (/ (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 (- (* 1/2 (PI)) (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 (pow x -1/2) 2) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow (pow x -1/2) 2) #s(hole binary64 (/ 1 x)))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (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) (* (sqrt (PI)) (/ (sqrt (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) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#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 (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 (+ (/ (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 (- (* 1/2 (PI)) (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 (pow x -1/2) 2) 1) x) #s(hole binary64 (* -1 (* x (+ 1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (- (* -1 (/ (pow (sqrt -1) 2) x)) 1)))
#s(approx (pow (pow x -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) x))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (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) (* (sqrt (PI)) (/ (sqrt (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) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (* (asin (- 1 x)) (asin (- 1 x))) (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (+ -1 x)) 2))
6.0ms
x
@-inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (* (asin (- 1 x)) (asin (- 1 x))) (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (+ -1 x)) 2))
5.0ms
x
@inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (- (pow (pow x -1/2) 2) 1) x) (- (pow (pow x -1/2) 2) 1) (pow (pow x -1/2) 2) (pow x -1/2) -1/2 (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (* (asin (- 1 x)) (asin (- 1 x))) (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (+ (asin (- 1 x)) (/ (PI) 2)) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (pow (asin (+ -1 x)) 2))

rewrite48.0ms (1.7%)

Memory
-4.4MiB live, 40.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931754
02611533
08481503
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
100 → 199
Calls
Call 1
Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(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)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 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)) (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 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (*.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)))
(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 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 (PI.f64) #s(literal 2 binary64)))
(/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 x #s(hole binary64 x))
#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 (+ (/ (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 (- (* 1/2 (PI)) (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 (pow x -1/2) 2) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow (pow x -1/2) 2) #s(hole binary64 (/ 1 x)))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (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) (* (sqrt (PI)) (/ (sqrt (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) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#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 (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 (+ (/ (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 (- (* 1/2 (PI)) (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 (pow x -1/2) 2) 1) x) #s(hole binary64 (* -1 (* x (+ 1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(hole binary64 (- (* -1 (/ (pow (sqrt -1) 2) x)) 1)))
#s(approx (pow (pow x -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) x))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (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) (* (sqrt (PI)) (/ (sqrt (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) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (* 1/2 (PI)) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (+ (asin (- 1 x)) (/ (PI) 2)) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) #s(hole binary64 (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (pow (asin (+ -1 x)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
Outputs
(/.f64 (neg.f64 (fma.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))
(fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(asin.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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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) #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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.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))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
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(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 1 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 2 binary64))
(exp.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) #s(literal -1 binary64))
#s(approx (+ -1 x) (-.f64 x #s(literal 1 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) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) #s(literal 1 binary64))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (- (pow (pow x -1/2) 2) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (pow (pow x -1/2) 2) 1) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))
#s(approx (pow (pow x -1/2) 2) (pow.f64 x #s(literal -1 binary64)))
#s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)))))
#s(approx (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (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 (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (pow (asin (+ -1 x)) 2) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (neg.f64 x))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (pow (pow x -1/2) 2) 1) #s(literal -1 binary64))
#s(approx (- (pow (pow x -1/2) 2) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (asin (+ -1 x)) (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (+ -1 x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (- (* 1/2 (PI)) (asin (- 1 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (* (- (pow (pow x -1/2) 2) 1) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (pow (pow x -1/2) 2) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (pow (pow x -1/2) 2) (pow.f64 x #s(literal -1 binary64)))
#s(approx (pow x -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (- (* (/ (PI) 2) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (pow.f64 (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))))
#s(approx (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) #s(literal 1/4 binary64)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
#s(approx (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))) (/.f64 (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))))
#s(approx (pow (asin (+ -1 x)) 2) (pow.f64 (asin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) #s(literal 2 binary64)))

eval76.0ms (2.8%)

Memory
1.1MiB live, 50.7MiB allocated; 67ms collecting garbage
Compiler

Compiled 9 463 to 1 005 computations (89.4% saved)

prune37.0ms (1.4%)

Memory
14.3MiB live, 61.6MiB allocated; 7ms collecting garbage
Pruning

41 alts after pruning (36 fresh and 5 done)

PrunedKeptTotal
New25019269
Fresh81725
Picked325
Done033
Total26141302
Accuracy
10.3%
Counts
302 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.0%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.4%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.6%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
10.0%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
7.9%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
6.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x 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))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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))))
6.4%
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))))
4.6%
(/.f64 (-.f64 (*.f64 (/.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.6%
(/.f64 (-.f64 (*.f64 (/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.3%
(/.f64 (-.f64 (*.f64 (/.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 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.6%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
10.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
9.9%
(-.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))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))))
4.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
4.6%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
6.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
6.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
4.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
6.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
6.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
6.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
6.8%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
10.0%
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.4%
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
6.4%
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.4%
#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)))))
6.4%
#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 2 238 to 1 370 computations (38.8% saved)

series68.0ms (2.5%)

Memory
-16.6MiB live, 74.1MiB allocated; 8ms collecting garbage
Counts
54 → 101
Calls
Call 1
Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(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)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))
(asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(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)
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)))
(/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
Outputs
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 x #s(hole binary64 x))
#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 (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 1))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 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 (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) 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 (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow (exp (log x)) -1) #s(hole binary64 (/ 1 x)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) #s(hole binary64 (- (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (pow (asin (- x 1)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (pow x -1)) #s(hole binary64 1))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 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 (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 -1))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#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 (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 (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) #s(hole binary64 (- (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (pow (asin (- x 1)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
Calls

3 calls:

TimeVariablePointExpression
31.0ms
x
@0
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (neg x) (- 1 (pow x -1))) (neg x) (- 1 (pow x -1)) (pow x -1) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (acos (- 1 x)) (- 1 x) (* (- (pow (exp (log x)) -1) 1) x) (- (pow (exp (log x)) -1) 1) (pow (exp (log x)) -1) (exp (log x)) (log x) (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) 1/2 (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (pow (asin (- x 1)) 2) (asin (- x 1)) (- x 1) (+ (* 1/2 (PI)) (asin (- 1 x))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (PI) (PI)) 1/4)
20.0ms
x
@inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (neg x) (- 1 (pow x -1))) (neg x) (- 1 (pow x -1)) (pow x -1) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (acos (- 1 x)) (- 1 x) (* (- (pow (exp (log x)) -1) 1) x) (- (pow (exp (log x)) -1) 1) (pow (exp (log x)) -1) (exp (log x)) (log x) (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) 1/2 (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (pow (asin (- x 1)) 2) (asin (- x 1)) (- x 1) (+ (* 1/2 (PI)) (asin (- 1 x))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (PI) (PI)) 1/4)
15.0ms
x
@-inf
((/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (asin (- 1 x)) (- 1 x) 1 x (asin (+ -1 x)) (+ -1 x) -1 (pow (/ (PI) 2) 2) (/ (PI) 2) (PI) 2 (+ (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (neg x) (- 1 (pow x -1))) (neg x) (- 1 (pow x -1)) (pow x -1) (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1) (pow x -2) -2 (- (pow x -1) -1) (acos (- 1 x)) (- 1 x) (* (- (pow (exp (log x)) -1) 1) x) (- (pow (exp (log x)) -1) 1) (pow (exp (log x)) -1) (exp (log x)) (log x) (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) 1/2 (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (pow (asin (- x 1)) 2) (asin (- x 1)) (- x 1) (+ (* 1/2 (PI)) (asin (- 1 x))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (PI) (PI)) 1/4)

rewrite200.0ms (7.3%)

Memory
-6.4MiB live, 179.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02562411
03362147
19931551
075601486
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
155 → 1 079
Calls
Call 1
Inputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
(fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(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)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))
(asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(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)
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x))
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#s(literal -2 binary64)
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(-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(exp.f64 (log.f64 x))
(log.f64 x)
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#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)))
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(pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 x #s(hole binary64 x))
#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 (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 1))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 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 (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 1))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (/ (+ 1 (* -1 x)) 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 (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow x -1) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 1))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (pow (exp (log x)) -1) #s(hole binary64 (/ 1 x)))
#s(approx (exp (log x)) #s(hole binary64 x))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) #s(hole binary64 (- (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))) (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))))
#s(approx (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (asin (- x 1)) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (pow (asin (- x 1)) 2) #s(hole binary64 (pow (asin (- x 1)) 2)))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI)))))))
#s(approx (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (PI) 2) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ -1 x) #s(hole binary64 x))
#s(approx (+ -1 x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (* -1 x)))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (pow x -1)) #s(hole binary64 1))
#s(approx (- 1 (pow x -1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 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 (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 -1))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (- (pow x -2) 1) #s(hole binary64 -1))
#s(approx (- (pow x -2) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (pow x -1) -1) #s(hole binary64 1))
#s(approx (- (pow x -1) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 -1))
#s(approx (- (pow (exp (log x)) -1) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (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))) (pow (/ (PI) 2) 2)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#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 (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 (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* (neg x) (- 1 (pow x -1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (pow (exp (log x)) -1) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) #s(hole binary64 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) #s(hole binary64 (- (+ (* 1/2 (PI)) (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) #s(hole binary64 (- (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))) (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))))
#s(approx (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (asin (neg (+ 1 (* -1 x)))) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (pow (asin (- x 1)) 2) #s(hole binary64 (pow (asin (neg (+ 1 (* -1 x)))) 2)))
#s(approx (asin (- x 1)) #s(hole binary64 (asin (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) #s(hole binary64 (* 1/4 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))))
#s(approx (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) #s(hole binary64 (/ (pow (PI) 2) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)))) (acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (-.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (-.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)))) (acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(log.f64 (pow.f64 (exp.f64 (PI.f64)) (PI.f64)))
#s(literal 1/4 binary64)
#s(approx (acos (- 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 (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (asin.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 (exp (log x)) x)
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) #s(literal -1 binary64))
#s(approx (+ -1 x) (-.f64 x #s(literal 1 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 (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(literal 1 binary64))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (- 1 (pow x -1)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (pow x -1)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(literal 1 binary64))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(literal 1 binary64))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (- (pow x -2) 1) (pow.f64 x #s(literal -2 binary64)))
#s(approx (- (pow x -2) 1) (/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) x))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (- (pow x -1) -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (pow x -1) -1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) #s(literal 1 binary64))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (exp (log x)) x)
#s(approx (log x) (log.f64 x))
#s(approx (acos (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (pow (asin (- x 1)) 2) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) #s(literal -1 binary64))
#s(approx (+ -1 x) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (neg.f64 x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (- 1 (pow x -1)) #s(literal 1 binary64))
#s(approx (- 1 (pow x -1)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (neg.f64 x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(literal -1 binary64))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (neg.f64 x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(literal -1 binary64))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (- (pow x -2) 1) #s(literal -1 binary64))
#s(approx (- (pow x -2) 1) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (- (pow x -1) -1) #s(literal 1 binary64))
#s(approx (- (pow x -1) -1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (neg.f64 x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) #s(literal -1 binary64))
#s(approx (/ (- (pow x -2) 1) (- (pow x -1) -1)) (expm1.f64 (neg.f64 (log.f64 x))))
#s(approx (log x) (log.f64 x))
#s(approx (+ -1 x) x)
#s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (acos (- 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 (+ -1 x))) (pow (/ (PI) 2) 2)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) 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 (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (* (/ (- (pow x -2) 1) (- (pow x -1) -1)) x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (acos (- 1 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (/ (pow (asin (- x 1)) 2) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (pow (asin (- x 1)) 2) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
#s(approx (asin (+ -1 x)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (+ -1 x) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (+ (* 1/2 (PI)) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) 1/4) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (* (PI) (PI)) (+ (* 1/2 (PI)) (asin (- 1 x)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))

eval124.0ms (4.5%)

Memory
-6.4MiB live, 183.7MiB allocated; 21ms collecting garbage
Compiler

Compiled 53 816 to 4 928 computations (90.8% saved)

prune87.0ms (3.2%)

Memory
-4.4MiB live, 95.4MiB allocated; 9ms collecting garbage
Pruning

51 alts after pruning (45 fresh and 6 done)

PrunedKeptTotal
New87130901
Fresh161531
Picked325
Done145
Total89151942
Accuracy
10.4%
Counts
942 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.7%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)))) (acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
10.0%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 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))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
5.6%
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (-.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.5%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)))) (acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.9%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (-.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.8%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
5.7%
(fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
2.7%
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
2.7%
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.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 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
4.6%
(/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.5%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.6%
(/.f64 (fma.f64 (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 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.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))))))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
7.9%
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x 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))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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))))
4.6%
(/.f64 (-.f64 (*.f64 (/.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.6%
(/.f64 (-.f64 (*.f64 (/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
5.3%
(/.f64 (-.f64 (*.f64 (/.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 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.6%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
9.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
9.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
9.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 1/4 binary64))))))
2.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
10.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
2.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))))
2.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) #s(literal 1/4 binary64))))))
2.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(literal 1/4 binary64))))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #s(literal 1/4 binary64))))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/4 binary64))))))
6.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/4 binary64))))))
2.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
2.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))))
4.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
4.6%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (*.f64 x x))) x)))
5.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) x)))
4.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))) x)))
4.8%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 x) x)) (*.f64 x x)) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
6.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
6.9%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
5.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)))
6.2%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
6.8%
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
3.8%
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
10.0%
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
6.4%
#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)))))
6.4%
#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 6 074 to 1 751 computations (71.2% saved)

regimes60.0ms (2.2%)

Memory
9.6MiB live, 55.1MiB allocated; 2ms collecting garbage
Counts
86 → 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))
#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 (PI.f64) #s(literal 2 binary64)) (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)))
#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)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 x) x)) (*.f64 x x)) 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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (*.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) 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 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (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)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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 (*.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 (/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.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 (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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 x 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 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x 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))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.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 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))) (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)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/4 binary64))))))
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(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)))) (acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (-.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (-.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(literal 1/4 binary64))))))
Outputs
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))))
Calls

3 calls:

21.0ms
x
18.0ms
(-.f64 #s(literal 1 binary64) x)
15.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.0%1(-.f64 #s(literal 1 binary64) x)
10.0%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes39.0ms (1.4%)

Memory
5.0MiB live, 49.5MiB allocated; 4ms collecting garbage
Counts
50 → 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))
#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 (PI.f64) #s(literal 2 binary64)) (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)))
#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)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 x) x)) (*.f64 x x)) 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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (*.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) 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 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (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)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.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 (*.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 (/.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)))) #s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.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 (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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 x 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 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.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))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) x)))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (+.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))) x)))
#s(approx (- (/ (PI) 2) (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2))))) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x 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))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.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 #s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))) (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 (/ (+ (* (asin (- 1 x)) (asin (+ -1 x))) (pow (/ (PI) 2) 2)) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

14.0ms
(-.f64 #s(literal 1 binary64) x)
13.0ms
x
9.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.0%1(-.f64 #s(literal 1 binary64) x)
10.0%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes18.0ms (0.6%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Counts
24 → 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))
#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 (PI.f64) #s(literal 2 binary64)) (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)))
#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)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 x) x)) (*.f64 x x)) 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)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (*.f64 x x))) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) 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 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ (- (/ (PI) 2) (/ (pow (/ (PI) 2) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (pow (asin (+ -1 x)) 2) (+ (asin (- 1 x)) (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Calls

3 calls:

7.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) x)
5.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
10.0%1(-.f64 #s(literal 1 binary64) x)
10.0%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
10.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes21.0ms (0.8%)

Memory
-37.8MiB live, 15.5MiB allocated; 25ms collecting garbage
Counts
10 → 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))
#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 (PI.f64) #s(literal 2 binary64)) (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)))
#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)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 x) x)) (*.f64 x x)) 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)))
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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

14.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.1%2x
9.1%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.1%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
3 → 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))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.1%2(-.f64 #s(literal 1 binary64) x)
9.1%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.1%2x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB 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
6.8%1(-.f64 #s(literal 1 binary64) x)
6.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms 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:

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

Compiled 8 to 8 computations (0% saved)

bsearch19.0ms (0.7%)

Memory
-25.5MiB live, 21.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
2.6750842174785728e-17
9.490743709766713e-11
Samples
12.0ms144×1valid
Compiler

Compiled 223 to 224 computations (-0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-acos: 6.0ms (67.5% of total)
adjust: 2.0ms (22.5% of total)
ival-sub!: 1.0ms (11.2% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.6750842174785728e-17
9.490743709766713e-11
Compiler

Compiled 106 to 116 computations (-9.4% saved)

derivations80.0ms (2.9%)

Memory
-5.0MiB live, 84.9MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 189 to 69 computations (63.5% saved)

preprocess40.0ms (1.5%)

Memory
12.6MiB live, 66.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 400 to 158 computations (60.5% saved)

end0.0ms (0%)

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

Profiling

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