bug323 (missed optimization)

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.6MiB 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 (47.8%)

Memory
49.6MiB live, 1 310.0MiB allocated; 293ms collecting garbage
Samples
735.0ms3 972×2valid
388.0ms4 123×1valid
72.0ms161×0valid
Precisions
Click to see histograms. Total time spent on operations: 967.0ms
ival-acos: 684.0ms (70.7% of total)
adjust: 210.0ms (21.7% of total)
ival-sub!: 74.0ms (7.6% of total)
Bogosity

preprocess85.0ms (2.9%)

Memory
-35.6MiB live, 9.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11713
22913
35313
413513
548513
6346813
7797513
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

rewrite52.0ms (1.7%)

Memory
17.4MiB live, 63.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02477
02570
19970
068370
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
12 → 38
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))))))
(neg.f64 (-.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 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(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 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
x
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))

eval3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 193 to 111 computations (42.5% saved)

prune4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New26632
Fresh000
Picked011
Done000
Total26733
Accuracy
8.9%
Counts
33 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(/.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))))))
6.2%
(/.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))))
6.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.5%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) 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)))
Compiler

Compiled 152 to 112 computations (26.3% saved)

series9.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
25 → 38
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(PI.f64)
(acos.f64 (-.f64 x #s(literal 1 binary64)))
(-.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)
(/.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 (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 #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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (PI) (acos (- x 1))) #s(hole binary64 (- (PI) (acos (- x 1)))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#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 (/ (- (* (/ (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 (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#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 (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 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 (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (PI) (acos (- x 1))) #s(hole binary64 (- (PI) (acos (neg (+ 1 (* -1 x)))))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 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 (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Calls

3 calls:

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

rewrite98.0ms (3.3%)

Memory
-25.6MiB live, 119.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106687
0134580
1437503
02619501
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
63 → 453
Calls
Call 1
Inputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(acos.f64 #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(PI.f64)
(acos.f64 (-.f64 x #s(literal 1 binary64)))
(-.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)
(/.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 (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 #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 (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (PI) (acos (- x 1))) #s(hole binary64 (- (PI) (acos (- x 1)))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#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 (/ (- (* (/ (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 (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#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 (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 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 (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (- (PI) (acos (- x 1))) #s(hole binary64 (- (PI) (acos (neg (+ 1 (* -1 x)))))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (neg (+ 1 (* -1 x))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 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 (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
Outputs
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 #s(approx (- 1 x) (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 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 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)))))))
(neg.f64 (-.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)) (neg.f64 (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 x)
x
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 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)))))))
(neg.f64 (-.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)) (neg.f64 (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))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64)))))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(/.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 (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))
(neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (/.f64 (fabs.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 4 binary64) (acos.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (-.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 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (PI.f64))
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(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -2 binary64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(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 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))
(*.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 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))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (*.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 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 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.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 (fma.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (-.f64 (PI.f64) (PI.f64)) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #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))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (PI.f64) (neg.f64 (acos.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 x #s(literal 1 binary64)))
#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 (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (* (- (/ 1 x) 1) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (acos (- 1 x)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (neg.f64 (+.f64 x (/.f64 (neg.f64 x) x))))
#s(approx (- x 1) x)
#s(approx (- x 1) (+.f64 x (/.f64 (neg.f64 x) x)))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 (+.f64 x (/.f64 (neg.f64 x) x))))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (neg.f64 (+.f64 x (/.f64 (neg.f64 x) x))))
#s(approx (acos (- 1 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (- x 1) (+.f64 x (/.f64 (neg.f64 x) x)))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 (+.f64 x (/.f64 (neg.f64 x) x))))
#s(approx (acos (- 1 x)) (neg.f64 (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (asin (- 1 x)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (asin (- 1 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))))

eval48.0ms (1.6%)

Memory
-0.1MiB live, 89.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 073 to 1 514 computations (70.2% saved)

prune45.0ms (1.5%)

Memory
15.0MiB live, 69.3MiB allocated; 33ms collecting garbage
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New40624430
Fresh101
Picked235
Done011
Total40928437
Accuracy
10.0%
Counts
437 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
4.4%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
9.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
4.4%
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.4%
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.4%
(/.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.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))))
6.2%
(/.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))))
6.2%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #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))))
6.2%
(/.f64 (+.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
9.7%
(-.f64 (PI.f64) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.2%
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(-.f64 (PI.f64) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #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))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
6.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
3.6%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
4.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
3.7%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
6.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
6.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) 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)))
Compiler

Compiled 1 018 to 756 computations (25.7% saved)

series33.0ms (1.1%)

Memory
-15.5MiB live, 30.6MiB allocated; 7ms collecting garbage
Counts
47 → 116
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (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 (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)))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))
(+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))
(acos.f64 (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))
(*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #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 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (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 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) x)
Outputs
#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 (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (* (- (/ 1 x) 1) 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 (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 1))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) #s(hole binary64 (- (/ (pow (PI) 2) (+ (PI) (acos (- x 1)))) (/ (pow (acos (- x 1)) 2) (+ (PI) (acos (- x 1)))))))
#s(approx (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (PI) 2) (+ (PI) (acos (- x 1))))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (- x 1)))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (- x 1))))
#s(approx (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (acos (- x 1)) 2) (+ (PI) (acos (- x 1))))))
#s(approx (* (acos (- x 1)) (acos (- x 1))) #s(hole binary64 (pow (acos (- x 1)) 2)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x)))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x))))))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x)))))))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) #s(hole binary64 (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x))))))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 1))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (+ 1 (* x (- (pow x 2) 1)))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1)))))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 1))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (+ 1 (* x (+ 1 x)))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (pow x 3)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* (pow x 3) (+ 1 (* -1 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* (pow x 3) (+ 1 (* x (- (pow x 2) 1))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* (pow x 3) (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) 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 (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2)))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2))))))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2)))))))))
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#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (* -1 x)))
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#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ 1 (pow x 2))))
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#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (- x -1) #s(hole binary64 x))
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#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 x))
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#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))))))
#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 (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#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 (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
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#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (neg (+ 1 (* -1 x)))))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (neg (+ 1 (* -1 x))))))
#s(approx (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (acos (neg (+ 1 (* -1 x)))) 2) (+ (PI) (acos (neg (+ 1 (* -1 x))))))))
#s(approx (* (acos (- x 1)) (acos (- x 1))) #s(hole binary64 (pow (acos (neg (+ 1 (* -1 x)))) 2)))
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#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (+ (* -1 (/ (pow x 3) (+ 1 (* x (- 1 (* -1 x)))))) (/ 1 (+ 1 (* x (- 1 (* -1 x)))))))))))
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#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) #s(hole binary64 (asin (+ (* -1 (/ (pow x 3) (+ 1 (* x (- 1 (* -1 x)))))) (/ 1 (+ 1 (* x (- 1 (* -1 x)))))))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))))
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#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((/ (- (* (/ (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)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (+ (acos (- x 1)) (PI)) (acos (- x 1)) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) (* (acos (- x 1)) (acos (- x 1))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (/ 1 (+ (* x (- x -1)) 1)) (+ (* x (- x -1)) 1) (- x -1) (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (* (* x x) x))
11.0ms
x
@-inf
((/ (- (* (/ (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)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (+ (acos (- x 1)) (PI)) (acos (- x 1)) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) (* (acos (- x 1)) (acos (- x 1))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (/ 1 (+ (* x (- x -1)) 1)) (+ (* x (- x -1)) 1) (- x -1) (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (* (* x x) x))
8.0ms
x
@0
((/ (- (* (/ (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)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (acos (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (acos (- 1 x)) (- 1 x) (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (* (- (/ 1 (* x x)) 1) x) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (- (/ 1 x) -1) -1 (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (+ (acos (- x 1)) (PI)) (acos (- x 1)) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) (* (acos (- x 1)) (acos (- x 1))) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (/ 1 (+ (* x (- x -1)) 1)) (+ (* x (- x -1)) 1) (- x -1) (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (* (* x x) x))

rewrite177.0ms (6%)

Memory
2.7MiB live, 142.0MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03373199
04142493
117472436
082822409
Stop Event
iter-limit
node-limit
iter-limit
Counts
163 → 638
Calls
Call 1
Inputs
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#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(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)))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
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(*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)
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(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
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#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
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#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
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#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 (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 1))
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#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) x)))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) #s(hole binary64 (- (/ (pow (PI) 2) (+ (PI) (acos (- x 1)))) (/ (pow (acos (- x 1)) 2) (+ (PI) (acos (- x 1)))))))
#s(approx (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (PI) 2) (+ (PI) (acos (- x 1))))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (- x 1)))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (- x 1))))
#s(approx (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (acos (- x 1)) 2) (+ (PI) (acos (- x 1))))))
#s(approx (* (acos (- x 1)) (acos (- x 1))) #s(hole binary64 (pow (acos (- x 1)) 2)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x)))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x))))))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x)))))))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) #s(hole binary64 (asin (- (/ 1 (+ 1 (* x (+ 1 x)))) (/ (pow x 3) (+ 1 (* x (+ 1 x))))))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 1))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (+ 1 (* x (- (pow x 2) 1)))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1)))))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 1))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (+ 1 (* x (+ 1 x)))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (pow x 3)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* (pow x 3) (+ 1 (* -1 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* (pow x 3) (+ 1 (* x (- (pow x 2) 1))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* (pow x 3) (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) 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 (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 2)) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2)))))))) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2))))))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2)))))))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) #s(hole binary64 (asin (- (/ 1 (+ 1 (+ x (pow x 2)))) (/ (pow x 3) (+ 1 (+ x (pow x 2))))))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (* -1 x)))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) (pow x 2))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (* x (- x -1)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 x))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))))))
#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 (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#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 (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 2)))))))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) #s(hole binary64 (- (/ (pow (PI) 2) (+ (PI) (acos (neg (+ 1 (* -1 x)))))) (/ (pow (acos (neg (+ 1 (* -1 x)))) 2) (+ (PI) (acos (neg (+ 1 (* -1 x)))))))))
#s(approx (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (PI) 2) (+ (PI) (acos (neg (+ 1 (* -1 x))))))))
#s(approx (+ (acos (- x 1)) (PI)) #s(hole binary64 (+ (PI) (acos (neg (+ 1 (* -1 x)))))))
#s(approx (acos (- x 1)) #s(hole binary64 (acos (neg (+ 1 (* -1 x))))))
#s(approx (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) #s(hole binary64 (/ (pow (acos (neg (+ 1 (* -1 x)))) 2) (+ (PI) (acos (neg (+ 1 (* -1 x))))))))
#s(approx (* (acos (- x 1)) (acos (- x 1))) #s(hole binary64 (pow (acos (neg (+ 1 (* -1 x)))) 2)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (+ (* -1 (/ (pow x 3) (+ 1 (* x (- 1 (* -1 x)))))) (/ 1 (+ 1 (* x (- 1 (* -1 x))))))))) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (* (asin (+ 1 (* -1 x))) (asin (+ (* -1 (/ (pow x 3) (+ 1 (* x (- 1 (* -1 x)))))) (/ 1 (+ 1 (* x (- 1 (* -1 x)))))))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) #s(hole binary64 (* (asin (+ 1 (* -1 x))) (asin (+ (* -1 (/ (pow x 3) (+ 1 (* x (- 1 (* -1 x)))))) (/ 1 (+ 1 (* x (- 1 (* -1 x))))))))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) #s(hole binary64 (asin (+ (* -1 (/ (pow x 3) (+ 1 (* x (- 1 (* -1 x)))))) (/ 1 (+ 1 (* x (- 1 (* -1 x)))))))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)) 1)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (neg.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))) (neg.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))))))
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#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (/ 1 x) 1) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) 1) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) #s(literal 1 binary64))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) 1) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
#s(approx (+ (acos (- x 1)) (PI)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))
#s(approx (acos (- x 1)) (acos.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))))
#s(approx (* (acos (- x 1)) (acos (- x 1))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* x (- x -1)) 1) #s(literal 1 binary64))
#s(approx (+ (* x (- x -1)) 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* x (- x -1)) 1) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (*.f64 x x) x))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (neg.f64 x))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (* x x)) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 (* x x)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 x) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (neg.f64 x))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ (* x (- x -1)) 1) (*.f64 x x))
#s(approx (+ (* x (- x -1)) 1) (fma.f64 x x x))
#s(approx (+ (* x (- x -1)) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- x -1) x)
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) x)
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (/.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (asin (- x 1)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (- (/ 1 (* x x)) 1) x) (- (/ 1 x) -1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ 1 (* x x)) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (PI) (PI)) (+ (acos (- x 1)) (PI))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
#s(approx (+ (acos (- x 1)) (PI)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))
#s(approx (acos (- x 1)) (acos.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (/ (* (acos (- x 1)) (acos (- x 1))) (+ (acos (- x 1)) (PI))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))))
#s(approx (* (acos (- x 1)) (acos (- x 1))) (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))))
#s(approx (* (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin (- 1 x))) (*.f64 (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1)))) (asin.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (+ (* x (- x -1)) 1)) (/ (* (* x x) x) (+ (* x (- x -1)) 1))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ (* x (- x -1)) 1)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x)) #s(literal 1 binary64))))

eval108.0ms (3.6%)

Memory
9.2MiB live, 143.2MiB allocated; 20ms collecting garbage
Compiler

Compiled 14 065 to 4 599 computations (67.3% saved)

prune65.0ms (2.2%)

Memory
-14.6MiB live, 85.2MiB allocated; 10ms collecting garbage
Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New93627963
Fresh31619
Picked415
Done044
Total94348991
Accuracy
10.1%
Counts
991 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
4.4%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
9.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
4.4%
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.4%
(/.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.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))))
6.2%
(/.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))))
2.5%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
2.5%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
6.0%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (*.f64 (*.f64 x 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))))
3.9%
(/.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) #s(approx (+ (* x (- x -1)) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #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))))
6.2%
(/.f64 (+.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.0%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
8.5%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
9.7%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
2.3%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
6.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
6.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
2.4%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))))
5.9%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (PI.f64))))
6.6%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
4.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
6.2%
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
9.7%
(-.f64 (PI.f64) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.2%
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(-.f64 (PI.f64) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #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))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
6.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.3%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
2.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
4.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
3.6%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
4.8%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
4.3%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
2.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
3.7%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
6.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
4.1%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.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)))
Compiler

Compiled 2 233 to 1 649 computations (26.2% saved)

series30.0ms (1%)

Memory
36.9MiB live, 36.9MiB allocated; 0ms collecting garbage
Counts
63 → 120
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/16 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2)) (+ (asin (- 1 x)) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (- 1 x)) 2))))
#s(approx (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (- 1 x)) 3) (pow (asin (- x 1)) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (- 1 x)) (asin (- x 1)))))
#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 x #s(hole binary64 x))
#s(approx (asin (- 1 x)) #s(hole binary64 (asin (- 1 x))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (- 1 x)) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (- 1 x)) 4) (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (- 1 x)) 4)))
#s(approx (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (PI) (- (PI) (acos (- 1 x)))) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (PI) (acos (- 1 x))) #s(hole binary64 (- (PI) (acos (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 1))
#s(approx (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 6))) (pow x 5))))
#s(approx (- (pow x -6) 1) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (- (pow x -6) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 6))) (pow x 6))))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 x) (pow x 5))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1 x))) (pow x 5))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1 (* x (+ 1 x))))) (pow x 5))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 4))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) (pow x 4))))
#s(approx (/ 1 (* (* x x) (* x x))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (* (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 x))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 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 -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 6)) 1))))
#s(approx (- (pow x -6) 1) #s(hole binary64 -1))
#s(approx (- (pow x -6) 1) #s(hole binary64 (- (/ 1 (pow x 6)) 1)))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#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 (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (+ 1 (* -1 x))) 4) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 4)))
#s(approx (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (PI) (- (PI) (acos (- 1 x)))) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- (PI) (acos (- 1 x))) #s(hole binary64 (- (PI) (acos (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 6)))))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
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9.0ms
x
@0
((/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))))) (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) 1/16 (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (PI) (* 1/4 (* (PI) (PI))) 1/4 (pow (* (asin (- x 1)) (asin (- 1 x))) 3) (* (asin (- x 1)) (asin (- 1 x))) (asin (- x 1)) (- x 1) x 1 (asin (- 1 x)) (- 1 x) 3 (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))) (pow (asin (- 1 x)) 4) 4 (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (- (PI) (- (PI) (acos (- 1 x)))) (- (PI) (acos (- 1 x))) (acos (- 1 x)) (- (/ (PI) 2) (asin (- 1 x))) (asin (- 1 x)) (- 1 x) (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) (- (/ 1 (* x x)) 1) (/ 1 (* x x)) (* x x) (/ x (- (/ 1 x) -1)) (- (/ 1 x) -1) (/ 1 x) -1 (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (asin (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (* (* (PI) (PI)) 1/4) (acos (- 1 x)) (- 1 x) (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) (* (- (pow x -6) 1) x) (- (pow x -6) 1) (pow x -6) -6 (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (/ 1 (* (* x x) (* x x))) (* (* x x) (* x x)) (+ 1 (* (/ 1 (* x x)) 1)) (* (/ 1 (* x x)) 1))
8.0ms
x
@inf
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rewrite184.0ms (6.2%)

Memory
-10.2MiB live, 172.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03683588
04712830
120012715
082742699
Stop Event
iter-limit
node-limit
iter-limit
Counts
183 → 1 012
Calls
Call 1
Inputs
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#s(approx (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (- 1 x)) (asin (- x 1)))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (- 1 x)) (* 1/2 (PI)))))
#s(approx (- (PI) (- (PI) (acos (- 1 x)))) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (PI) (acos (- 1 x))) #s(hole binary64 (- (PI) (acos (- 1 x)))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (- 1 x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (- 1 x)))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 1))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (pow x 2)))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) -1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (- 1 x)) (asin (- x 1))))))
#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 (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 1))
#s(approx (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (/ (+ 1 (* -1 (pow x 6))) (pow x 5))))
#s(approx (- (pow x -6) 1) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (- (pow x -6) 1) #s(hole binary64 (/ (+ 1 (* -1 (pow x 6))) (pow x 6))))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 x) (pow x 5))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1 x))) (pow x 5))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1 (* x (+ 1 x))))) (pow x 5))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 4))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) (pow x 4))))
#s(approx (/ 1 (* (* x x) (* x x))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (* (/ 1 (* x x)) 1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 (* x x)) 1) #s(hole binary64 (- (/ 1 (pow x 2)) 1)))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 x))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (- (/ 1 x) -1) #s(hole binary64 1))
#s(approx (- (/ 1 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 -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (* -1 x)))
#s(approx (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (* x (- (/ 1 (pow x 6)) 1))))
#s(approx (- (pow x -6) 1) #s(hole binary64 -1))
#s(approx (- (pow x -6) 1) #s(hole binary64 (- (/ 1 (pow x 6)) 1)))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(hole binary64 (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (/ (PI) 2) (asin (- 1 x)))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2)) (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (+ 1 (* -1 x))) 2))))
#s(approx (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))))) #s(hole binary64 (/ (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))) (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) #s(hole binary64 (+ (* 1/64 (pow (PI) 6)) (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3)))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) #s(hole binary64 (* (pow (asin (neg (+ 1 (* -1 x)))) 3) (pow (asin (+ 1 (* -1 x))) 3))))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) #s(hole binary64 (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))
#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 (asin (- 1 x)) #s(hole binary64 (asin (+ 1 (* -1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))))) #s(hole binary64 (- (+ (* 1/16 (pow (PI) 4)) (pow (asin (+ 1 (* -1 x))) 4)) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))) #s(hole binary64 (- (pow (asin (+ 1 (* -1 x))) 4) (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))))
#s(approx (pow (asin (- 1 x)) 4) #s(hole binary64 (pow (asin (+ 1 (* -1 x))) 4)))
#s(approx (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))) #s(hole binary64 (* 1/4 (* (pow (PI) 2) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x))))))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (+ (asin (+ 1 (* -1 x))) (* 1/2 (PI)))))
#s(approx (- (PI) (- (PI) (acos (- 1 x)))) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- (PI) (acos (- 1 x))) #s(hole binary64 (- (PI) (acos (+ 1 (* -1 x))))))
#s(approx (acos (- 1 x)) #s(hole binary64 (acos (+ 1 (* -1 x)))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) #s(hole binary64 (- (* 1/2 (PI)) (asin (+ 1 (* -1 x))))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ x (- (/ 1 x) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) #s(hole binary64 (+ (* 1/4 (pow (PI) 2)) (* (asin (neg (+ 1 (* -1 x)))) (asin (+ 1 (* -1 x)))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (* (- (pow x -6) 1) x) (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1))) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (pow x -6) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 (pow x 6)))))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (neg.f64 (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.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 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 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))))
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#s(literal 4 binary64)
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#s(approx (/ x (- (/ 1 x) -1)) x)
#s(approx (/ x (- (/ 1 x) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (- (/ 1 x) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x))
#s(approx (/ x (- (/ 1 x) -1)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x))
#s(approx (- (/ 1 x) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 x) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) (neg.f64 x))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (pow x -6) 1) x) (neg.f64 x))
#s(approx (* (- (pow x -6) 1) x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64))) x))
#s(approx (- (pow x -6) 1) #s(literal -1 binary64))
#s(approx (- (pow x -6) 1) (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) #s(literal 1 binary64))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (* x x)) 1)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (- (/ (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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (/ (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (* 1/4 (* (PI) (PI)))) (pow (* (asin (- x 1)) (asin (- 1 x))) 3)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/64 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))))
#s(approx (pow (* (asin (- x 1)) (asin (- 1 x))) 3) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
#s(approx (* (asin (- x 1)) (asin (- 1 x))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (asin (- x 1)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (asin (- 1 x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* 1/16 (* (* (PI) (PI)) (* (PI) (PI)))) (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/16 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (asin (- 1 x)) 4) (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x))))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(approx (pow (asin (- 1 x)) 4) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
#s(approx (* (* 1/4 (* (PI) (PI))) (* (asin (- x 1)) (asin (- 1 x)))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ (PI) 2) (asin (- 1 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (PI) (acos (- 1 x))) (acos.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ (PI) 2) (asin (- 1 x))) (acos.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 x #s(literal 1 binary64)))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (- (/ 1 x) -1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (/ x (- (/ 1 x) -1)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(approx (/ x (- (/ 1 x) -1)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(approx (+ (* (asin (- x 1)) (asin (- 1 x))) (* (* (PI) (PI)) 1/4)) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ 1 (* x x)) 1) (/ x (- (/ 1 x) -1))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (pow x -6) 1) x) (*.f64 (neg.f64 x) (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -6 binary64))))))
#s(approx (* (+ (/ 1 (* (* x x) (* x x))) (+ 1 (* (/ 1 (* x x)) 1))) (- (/ 1 x) -1)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))

eval173.0ms (5.8%)

Memory
5.8MiB live, 194.0MiB allocated; 73ms collecting garbage
Compiler

Compiled 22 406 to 7 661 computations (65.8% saved)

prune96.0ms (3.2%)

Memory
20.2MiB live, 113.4MiB allocated; 6ms collecting garbage
Pruning

57 alts after pruning (51 fresh and 6 done)

PrunedKeptTotal
New1 317151 332
Fresh23638
Picked415
Done055
Total1 323571 380
Accuracy
10.2%
Counts
1 380 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
4.4%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
9.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
4.4%
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
4.4%
(/.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.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))))
6.2%
(/.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))))
2.5%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
2.5%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
6.0%
(/.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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (*.f64 (*.f64 x 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))))
6.2%
(/.f64 (+.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.7%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
9.7%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.0%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
8.5%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
5.1%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
5.9%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.4%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
9.7%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #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)))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
8.0%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
8.5%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
9.8%
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
2.3%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
6.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
6.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
2.4%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))))
5.9%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (PI.f64))))
6.6%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
4.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
4.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
4.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
2.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (/ x (- (/ 1 x) -1)) (*.f64 x x))))))
6.2%
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
9.7%
(-.f64 (PI.f64) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
6.2%
(-.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
6.2%
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
6.2%
(-.f64 (PI.f64) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #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))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
6.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
6.2%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
4.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.3%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
4.2%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
3.6%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
4.3%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
2.1%
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
3.7%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
4.3%
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
6.1%
(acos.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)))
4.4%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
4.1%
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.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)))
Compiler

Compiled 2 441 to 1 500 computations (38.5% saved)

regimes53.0ms (1.8%)

Memory
-2.3MiB live, 50.5MiB allocated; 8ms collecting garbage
Counts
73 → 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))
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.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)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (/ x (- (/ 1 x) -1)) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
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(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

22.0ms
x
12.0ms
(-.f64 #s(literal 1 binary64) x)
12.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.8%1(-.f64 #s(literal 1 binary64) x)
9.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes48.0ms (1.6%)

Memory
-23.3MiB live, 68.9MiB allocated; 6ms collecting garbage
Counts
71 → 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))
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.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)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (/ x (- (/ 1 x) -1)) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.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) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64) (*.f64 (neg.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)) (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 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #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)))))
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64)))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 #s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (PI.f64))))
(/.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(-.f64 (PI.f64) (fma.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.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 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 -6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) 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) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (/ (* (* x x) x) (+ (* x (- x -1)) 1)) (*.f64 (*.f64 (*.f64 x 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 (*.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (acos.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))
(/.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.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) #s(approx (+ (* x (- x -1)) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #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 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (acos.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (acos.f64 (-.f64 x #s(literal 1 binary64))) (PI.f64))))))
(/.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 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 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 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 x #s(literal 1 binary64)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (PI.f64) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #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))) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
Outputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

18.0ms
x
14.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
12.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.8%1(-.f64 #s(literal 1 binary64) x)
9.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes20.0ms (0.7%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Counts
30 → 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))
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.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)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (/ x (- (/ 1 x) -1)) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.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) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
Outputs
(/.f64 #s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (- 1 x)) (asin (- 1 x)))) (fma.f64 (asin.f64 (-.f64 x #s(literal 1 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) #s(literal 1 binary64)))))
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
8.5%1(-.f64 #s(literal 1 binary64) x)
8.5%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.5%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes50.0ms (1.7%)

Memory
-28.7MiB live, 17.7MiB allocated; 2ms collecting garbage
Counts
27 → 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))
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.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)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (-.f64 x #s(literal 1 binary64))))
(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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) #s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(approx (/ x (- (/ 1 x) -1)) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(approx (- 1 x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(acos.f64 #s(approx (- 1 x) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) x)))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(acos.f64 #s(approx (- 1 x) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
Outputs
(acos.f64 #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (PI.f64) (-.f64 (PI.f64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

39.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) x)
5.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
8.8%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
8.8%2x
8.8%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
5 → 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))
(-.f64 (PI.f64) (acos.f64 (-.f64 x #s(literal 1 binary64))))
(acos.f64 #s(approx (- 1 x) (*.f64 #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) x)))
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(approx (- 1 x) (neg.f64 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
8.8%2(-.f64 #s(literal 1 binary64) x)
8.8%2x
8.8%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

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

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
6.8%1x
6.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.8%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB 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%1x
3.8%1(-.f64 #s(literal 1 binary64) x)
3.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.6838026182359026e-7
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999998903
1.0
Compiler

Compiled 7 to 8 computations (-14.3% saved)

derivations92.0ms (3.1%)

Memory
20.6MiB live, 71.3MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 106 to 58 computations (45.3% saved)

preprocess64.0ms (2.1%)

Memory
-6.7MiB live, 85.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 110 to 62 computations (43.6% saved)

end0.0ms (0%)

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

Profiling

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