Ian Simplification

Time bar (total: 17.3s)

analyze5.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (40.3% of total)
ival-asin: 1.0ms (40.3% of total)
ival-pi: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.6s (21.1%)

Results
1.8s3305×2valid
1.3s4774×1valid
18.0ms177×0valid
0.0ms1×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-asin: 1.1s (39.7% of total)
ival-sqrt: 461.0ms (17% of total)
ival-div: 358.0ms (13.2% of total)
ival-sub: 296.0ms (10.9% of total)
ival-mult: 198.0ms (7.3% of total)
backward-pass: 178.0ms (6.6% of total)
ival-pi: 114.0ms (4.2% of total)
const: 28.0ms (1% of total)
Bogosity

preprocess81.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
770×fnmadd-define
612×fmsub-define
590×fnmsub-define
466×fmm-def
362×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01942
14740
29737
322433
446133
590433
6144533
7190733
8228233
9241533
10243933
01113
12613
24012
36712
410511
517211
629211
744111
856011
985011
10104111
11106311
0106311
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
Call 2
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(fnmsub 2 (asin (sqrt (fnmsub x 1/2 -1/2))) (* (PI) -1/2))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(fnmsub 2 (asin (sqrt (fnmsub x -1/2 -1/2))) (* (PI) -1/2))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
(fnmsub (asin (sqrt (fnmsub x -1/2 -1/2))) -2 (* (PI) 1/2))

explain273.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
00-0-(PI.f64)
00-0-x
00-0-(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
00-0-(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
Results
120.0ms220×2valid
89.0ms280×1valid
1.0ms12×0valid
Compiler

Compiled 118 to 35 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-asin: 67.0ms (44.5% of total)
ival-div: 19.0ms (12.6% of total)
backward-pass: 16.0ms (10.6% of total)
ival-sqrt: 14.0ms (9.3% of total)
ival-sub: 13.0ms (8.6% of total)
ival-mult: 13.0ms (8.6% of total)
ival-pi: 6.0ms (4% of total)
const: 2.0ms (1.3% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 12 computations (14.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify30.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Rules
292×fnmadd-define
232×sum3-define
212×fma-lowering-fma.f32
212×fma-define
212×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01150
12650
24049
36749
410544
517244
629244
744144
856044
985044
10104144
11106344
0106344
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))
(/ (- 1 x) 2)
(- 1 x)
1
x
Outputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))))
(asin (sqrt (/ (- 1 x) 2)))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(sqrt (/ (- 1 x) 2))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(/ (- 1 x) 2)
(-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize130.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓accuracy9.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Results
66.0ms110×2valid
45.0ms140×1valid
1.0ms6×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-asin: 36.0ms (44% of total)
ival-div: 9.0ms (11% of total)
ival-sqrt: 9.0ms (11% of total)
backward-pass: 8.0ms (9.8% of total)
ival-sub: 7.0ms (8.6% of total)
ival-mult: 7.0ms (8.6% of total)
ival-pi: 5.0ms (6.1% of total)
const: 1.0ms (1.2% of total)

series53.0ms (0.3%)

Counts
6 → 48
Calls
Call 1
Inputs
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (* 2 (asin (sqrt (/ (- 1 x) 2))))>
#<alt (asin (sqrt (/ (- 1 x) 2)))>
#<alt (sqrt (/ (- 1 x) 2))>
Outputs
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (- 1 x))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))>
#<alt (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))>
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
Calls

12 calls:

TimeVariablePointExpression
48.0ms
x
@0
(* 2 (asin (sqrt (/ (- 1 x) 2))))
1.0ms
x
@inf
(sqrt (/ (- 1 x) 2))
1.0ms
x
@-inf
(sqrt (/ (- 1 x) 2))
1.0ms
x
@0
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
1.0ms
x
@inf
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))

rewrite268.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
4800×*-lowering-*.f32
4800×*-lowering-*.f64
3020×/-lowering-/.f32
3020×/-lowering-/.f64
1152×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
18538
265038
0811838
Stop Event
1×iter limit
1×node limit
Counts
6 → 286
Calls
Call 1
Inputs
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
(/ (PI) 2)
(PI)
(* 2 (asin (sqrt (/ (- 1 x) 2))))
(asin (sqrt (/ (- 1 x) 2)))
(sqrt (/ (- 1 x) 2))
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))

simplify206.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
4346×*-lowering-*.f32
4346×*-lowering-*.f64
2544×+-lowering-+.f64
2544×+-lowering-+.f32
1670×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094667
1284641
2973619
33434611
08111611
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
Outputs
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/16 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(*.f64 x (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 x (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

eval47.0ms (0.3%)

Compiler

Compiled 10139 to 1194 computations (88.2% saved)

prune60.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New31519334
Fresh000
Picked011
Done000
Total31520335
Accuracy
10.7%
Counts
335 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))))
7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
7.6%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
7.6%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.6%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
▶7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
▶9.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
▶7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
6.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
▶4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
▶7.7%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))
7.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.6%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
Compiler

Compiled 2454 to 791 computations (67.8% saved)

simplify257.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))
✓cost-diff128
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))
✓cost-diff128
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
✓cost-diff256
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
✓cost-diff64
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓cost-diff128
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff192
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff320
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
✓cost-diff64
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff64
(asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff64
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff64
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
✓cost-diff64
(-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
✓cost-diff192
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff192
(+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓cost-diff192
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Rules
2908×*-lowering-*.f32
2908×*-lowering-*.f64
2384×--lowering--.f32
2384×--lowering--.f64
2104×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053593
1117578
2277572
3752572
42231570
55944570
08104570
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(/ (PI) 2)
(PI)
2
(+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
0
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt 1/2)))
(asin (sqrt 1/2))
(sqrt 1/2)
1/2
(- (/ (PI) 2) (* 2 (asin (/ (pow (- 1 x) 1/2) (sqrt 2)))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (/ (pow (- 1 x) 1/2) (sqrt 2))))
(asin (/ (pow (- 1 x) 1/2) (sqrt 2)))
(/ (pow (- 1 x) 1/2) (sqrt 2))
(pow (- 1 x) 1/2)
(- 1 x)
1
x
1/2
(sqrt 2)
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
2
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(* (/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)))
(+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))
-4
(pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
8
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
3
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))
(- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
Outputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
0
#s(literal 0 binary64)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (sqrt 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin (sqrt 1/2))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- (/ (PI) 2) (* 2 (asin (/ (pow (- 1 x) 1/2) (sqrt 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (/ (pow (- 1 x) 1/2) (sqrt 2))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin (/ (pow (- 1 x) 1/2) (sqrt 2)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow (- 1 x) 1/2) (sqrt 2))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(pow (- 1 x) 1/2)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/2
#s(literal 1/2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 8 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 8 binary64)) (*.f64 (PI.f64) #s(literal 2 binary64))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(* (/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))))
(/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))))
(+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
-4
#s(literal -4 binary64)
(pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
8
#s(literal 8 binary64)
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64)))
(- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
(*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))

localize1.3s (7.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy9.6%
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
✓accuracy9.5%
(-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))
✓accuracy100.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓accuracy98.5%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy9.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
✓accuracy100.0%
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓accuracy98.5%
(asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.5%
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy9.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy100.0%
(acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.9%
(+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓accuracy9.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Results
1.1s256×2valid
Compiler

Compiled 655 to 54 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 853.0ms
ival-pow: 445.0ms (52.2% of total)
ival-asin: 107.0ms (12.5% of total)
backward-pass: 68.0ms (8% of total)
ival-mult: 64.0ms (7.5% of total)
ival-acos: 45.0ms (5.3% of total)
ival-div: 44.0ms (5.2% of total)
ival-sub: 30.0ms (3.5% of total)
ival-add: 25.0ms (2.9% of total)
ival-sqrt: 15.0ms (1.8% of total)
ival-pi: 6.0ms (0.7% of total)
const: 4.0ms (0.5% of total)

series94.0ms (0.5%)

Counts
30 → 276
Calls
Call 1
Inputs
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))>
#<alt (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)>
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#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (* (sqrt x) (sqrt -1/2))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* -1/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))>
Calls

69 calls:

TimeVariablePointExpression
57.0ms
x
@-inf
(/ (pow (- 1 x) 1/2) (sqrt 2))
7.0ms
x
@0
(* (/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
3.0ms
x
@0
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
3.0ms
x
@inf
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
3.0ms
x
@inf
(* (/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))

rewrite341.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
4326×*-lowering-*.f32
4326×*-lowering-*.f64
2256×pow-lowering-pow.f64
2256×pow-lowering-pow.f32
1778×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053398
1377335
24081333
08203333
Stop Event
1×iter limit
1×node limit
Counts
30 → 621
Calls
Call 1
Inputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(+ (PI) (* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(* (- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- 0 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(PI)
(* 2 (asin (sqrt 1/2)))
(- (/ (PI) 2) (* 2 (asin (/ (pow (- 1 x) 1/2) (sqrt 2)))))
(* 2 (asin (/ (pow (- 1 x) 1/2) (sqrt 2))))
(asin (/ (pow (- 1 x) 1/2) (sqrt 2)))
(/ (pow (- 1 x) 1/2) (sqrt 2))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(* (/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))))
(/ (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))) (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)))
(+ (/ (* (PI) (PI)) 4) (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))))
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI)))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(asin (sqrt 1/2))
(sqrt 1/2)
(pow (- 1 x) 1/2)
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(- (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4) (PI))
(+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(* (PI) (* (PI) (PI)))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 3)
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
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(*.f64 (+.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))

simplify288.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
6134×*-lowering-*.f32
6134×*-lowering-*.f64
2416×+-lowering-+.f64
2416×+-lowering-+.f32
1364×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02835003
18894623
226964598
080234598
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
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(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
Outputs
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (- 1/2 (* 1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(* -1 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
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(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(-.f64 (*.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (PI.f64))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))

eval391.0ms (2.3%)

Compiler

Compiled 105889 to 5680 computations (94.6% saved)

prune266.0ms (1.5%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New1889291918
Fresh8614
Picked415
Done011
Total1901371938
Accuracy
10.9%
Counts
1938 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
9.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
9.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
4.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
7.6%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
▶7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
9.5%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
9.5%
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))))
9.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
9.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))))
9.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.6%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
7.7%
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
7.7%
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
▶9.6%
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
▶7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
4.1%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶3.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
9.5%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
7.7%
(*.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
6.5%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))
▶9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
Compiler

Compiled 4506 to 1532 computations (66% saved)

simplify205.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓cost-diff192
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff13760
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓cost-diff33856
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
✓cost-diff64
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff128
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓cost-diff13888
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓cost-diff64
(-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓cost-diff64
(pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
✓cost-diff64
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓cost-diff256
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓cost-diff6656
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))
✓cost-diff6656
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))
✓cost-diff6720
(/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff20416
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
Rules
3820×*-lowering-*.f32
3820×*-lowering-*.f64
1246×sum3-define
1080×/-lowering-/.f32
1080×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046817
1115720
2343711
31459671
45730671
08160671
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
(/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
4
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
2
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(- (/ (PI) 2) (* 2 (asin (/ 1 (sqrt 2)))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (/ 1 (sqrt 2))))
(asin (/ 1 (sqrt 2)))
(/ 1 (sqrt 2))
1
(sqrt 2)
(* (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
(/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
1
(+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(/ (PI) 2)
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
2
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
1
(/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
2
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
Outputs
(- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(- (/ (PI) 2) (* 2 (asin (/ 1 (sqrt 2)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (/ 1 (sqrt 2))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(asin (/ 1 (sqrt 2)))
(asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(* (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
1
#s(literal 1 binary64)
(+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
1
#s(literal 1 binary64)
(/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 1/2 binary64))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))

localize890.0ms (5.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy98.5%
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓accuracy98.5%
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓accuracy9.6%
(-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓accuracy99.9%
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓accuracy98.5%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy9.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓accuracy100.0%
(acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.9%
(-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓accuracy99.4%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓accuracy9.6%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy98.4%
(asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.5%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy9.7%
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
Results
669.0ms256×2valid
Compiler

Compiled 867 to 47 computations (94.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 447.0ms
ival-pow: 98.0ms (21.9% of total)
ival-asin: 68.0ms (15.2% of total)
backward-pass: 65.0ms (14.5% of total)
ival-div: 62.0ms (13.9% of total)
ival-mult: 52.0ms (11.6% of total)
ival-acos: 45.0ms (10.1% of total)
ival-sub: 24.0ms (5.4% of total)
ival-add: 12.0ms (2.7% of total)
ival-cbrt: 8.0ms (1.8% of total)
ival-sqrt: 7.0ms (1.6% of total)
ival-pi: 5.0ms (1.1% of total)
const: 2.0ms (0.4% of total)

series53.0ms (0.3%)

Counts
27 → 192
Calls
Call 1
Inputs
#<alt (- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))>
#<alt (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) (PI))>
#<alt (- (/ (PI) 2) (* 2 (asin (/ 1 (sqrt 2)))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (* 2 (asin (/ 1 (sqrt 2))))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2))>
#<alt (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)>
#<alt (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))>
#<alt (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))>
#<alt (/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))>
#<alt (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))>
#<alt (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (asin (pow (+ 1/2 (/ x -2)) 1/2))>
#<alt (asin (/ 1 (sqrt 2)))>
#<alt (/ 1 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (acos (pow (+ 1/2 (/ x -2)) 1/2))>
Outputs
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
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#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
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#<alt (/ (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
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#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
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#<alt (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (- 1/2 (* 1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (asin (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
Calls

48 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
3.0ms
x
@0
(/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
2.0ms
x
@inf
(/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
1.0ms
x
@inf
(* (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
1.0ms
x
@-inf
(* (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))

rewrite468.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
4008×*-lowering-*.f32
4008×*-lowering-*.f64
1860×pow-lowering-pow.f64
1860×pow-lowering-pow.f32
1648×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046398
1363277
23630273
08878273
Stop Event
1×iter limit
1×node limit
Counts
27 → 1058
Calls
Call 1
Inputs
(- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))))
(/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(- (/ (PI) 2) (* 2 (asin (/ 1 (sqrt 2)))))
(/ (PI) 2)
(PI)
(* 2 (asin (/ 1 (sqrt 2))))
(* (- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(- (/ (* (PI) (PI)) 4) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2))
(pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/ 1 (/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(/ (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(- (* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(* (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin (/ 1 (sqrt 2)))
(/ 1 (sqrt 2))
(sqrt 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (*.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(asin.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

simplify275.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3456×*-lowering-*.f32
3456×*-lowering-*.f64
1976×fnmadd-define
1210×sum3-define
1174×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0674584
12374104
25493660
317463552
462443552
080273552
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
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(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
Outputs
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
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(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (* (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(* 4 (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))

eval758.0ms (4.4%)

Compiler

Compiled 150167 to 6550 computations (95.6% saved)

prune430.0ms (2.5%)

Pruning

54 alts after pruning (51 fresh and 3 done)

PrunedKeptTotal
New2541382579
Fresh171330
Picked415
Done022
Total2562542616
Accuracy
11.0%
Counts
2616 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.6%
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.7%
(fma.f64 (/.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.7%
(fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
7.6%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.7%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64))) (*.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
▶9.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
4.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
9.5%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 8 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
9.5%
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
9.5%
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
9.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
9.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))))
9.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
9.5%
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))
7.6%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
▶7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
7.7%
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
▶9.6%
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓3.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.7%
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
▶9.5%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
7.7%
(*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
▶7.7%
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
6.5%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.7%
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(*.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
2.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 6418 to 2456 computations (61.7% saved)

simplify268.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
✓cost-diff6656
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓cost-diff6656
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓cost-diff6720
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
✓cost-diff64
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff128
(*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓cost-diff192
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
✓cost-diff64
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
✓cost-diff64
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
✓cost-diff6464
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
✓cost-diff6656
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓cost-diff0
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
✓cost-diff6656
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))
✓cost-diff6656
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))
✓cost-diff6720
(/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff6784
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
Rules
2900×+-lowering-+.f64
2900×+-lowering-+.f32
2670×*-lowering-*.f32
2670×*-lowering-*.f64
1776×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0641018
1145925
2406914
31820912
08226912
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
4
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
2
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(sqrt (+ 1/2 (* -1/2 x)))
(+ 1/2 (* -1/2 x))
(* -1/2 x)
-1/2
(+ (* (PI) -1/2) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* (PI) -1/2)
(PI)
-1/2
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt (+ 1/2 (* -1/2 x)))
(+ 1/2 (* -1/2 x))
1/2
(* -1/2 x)
x
2
(* (+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(/ (PI) 4)
(PI)
4
(- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
0
(pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
-2
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
2
(/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
1
(+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(/ (PI) 2)
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
3
(+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(/ (* (PI) (PI)) 4)
4
(* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(/ (PI) 2)
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4)))
2
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (* (PI) (PI)) 4)
4
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
Outputs
(- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt (+ 1/2 (* -1/2 x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (PI) -1/2) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt (+ 1/2 (* -1/2 x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
2
#s(literal 2 binary64)
(* (+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))
0
#s(literal 0 binary64)
(pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))
(+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
-2
#s(literal -2 binary64)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
2
#s(literal 2 binary64)
(/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
1
#s(literal 1 binary64)
(+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))
(+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))

localize2.9s (16.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.1%
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓accuracy7.3%
(PI.f64)
✓accuracy99.9%
(pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
✓accuracy99.9%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.1%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓accuracy7.3%
(PI.f64)
✓accuracy100.0%
(-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓accuracy98.9%
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
✓accuracy7.3%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓accuracy98.9%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
✓accuracy7.3%
(PI.f64)
✓accuracy99.9%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.9%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy99.0%
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
✓accuracy7.3%
(PI.f64)
Results
2.5s245×5exit
7.0ms4×1valid
5.0ms1×2valid
4.0ms6×0valid
Compiler

Compiled 1083 to 64 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-pow: 686.0ms (36.1% of total)
backward-pass: 302.0ms (15.9% of total)
ival-acos: 232.0ms (12.2% of total)
ival-asin: 201.0ms (10.6% of total)
ival-mult: 197.0ms (10.4% of total)
ival-div: 91.0ms (4.8% of total)
ival-add: 85.0ms (4.5% of total)
ival-sub: 38.0ms (2% of total)
compiled-spec: 32.0ms (1.7% of total)
ival-sqrt: 17.0ms (0.9% of total)
ival-cbrt: 9.0ms (0.5% of total)
const: 5.0ms (0.3% of total)
ival-pi: 5.0ms (0.3% of total)

series26.0ms (0.2%)

Counts
27 → 252
Calls
Call 1
Inputs
#<alt (- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) (PI))>
#<alt (+ (* (PI) -1/2) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))>
#<alt (* (PI) -1/2)>
#<alt (PI)>
#<alt (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (* (+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))>
#<alt (+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))>
#<alt (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))>
#<alt (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)>
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))>
#<alt (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))>
#<alt (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))>
#<alt (/ (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))>
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))>
#<alt (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))>
#<alt (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4)))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (sqrt (+ 1/2 (* -1/2 x)))>
#<alt (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))>
#<alt (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))>
#<alt (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)>
Outputs
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
#<alt (* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))>
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#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (- 1/2 (* 1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (acos (sqrt (+ 1/2 (* -1/2 x))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))>
#<alt (* (sqrt x) (sqrt -1/2))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))>
#<alt (* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))>
#<alt (* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
#<alt (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
2.0ms
x
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
2.0ms
x
@-inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
2.0ms
x
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
1.0ms
x
@inf
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))

rewrite398.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
3326×*-lowering-*.f32
3326×*-lowering-*.f64
2014×/-lowering-/.f32
2014×/-lowering-/.f64
1382×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064490
1484321
24930319
08057319
Stop Event
1×iter limit
1×node limit
Counts
27 → 839
Calls
Call 1
Inputs
(- (/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2) (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(+ (* (PI) -1/2) (* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* (PI) -1/2)
(PI)
(* (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)
(* (+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))) (/ 1 (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+ (* (/ (PI) 4) (PI)) (- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)))
(- 0 (pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(pow (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) 2)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(+ (/ (* (PI) (PI)) 4) (* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(* (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(/ (+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))) (pow (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) 2))
(+ (/ (* (PI) (* (PI) (PI))) 8) (- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
(- (* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4))) (* (+ (/ (PI) 2) (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(* 2 (* (asin (pow (+ 1/2 (/ x -2)) 1/2)) (/ (* (PI) (PI)) 4)))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt (+ 1/2 (* -1/2 x)))
(+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(pow (- (PI) (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
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(+.f64 (*.f64 (PI.f64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal 3 binary64))
(*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3/2 binary64)))

simplify247.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
3466×*-lowering-*.f32
3466×*-lowering-*.f64
1846×fma-lowering-fma.f32
1846×fma-lowering-fma.f64
1498×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01795956
15715323
215185290
351635290
081075290
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2))
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(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(* -1 (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2))
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
(pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 2)
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(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
Outputs
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
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(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
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(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
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(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64)))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))

eval363.0ms (2.1%)

Compiler

Compiled 125155 to 5862 computations (95.3% saved)

prune349.0ms (2%)

Pruning

69 alts after pruning (64 fresh and 5 done)

PrunedKeptTotal
New1976382014
Fresh202646
Picked325
Done033
Total1999692068
Accuracy
11.1%
Counts
2068 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.6%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
7.7%
(fma.f64 (/.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.7%
(fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
7.6%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
7.7%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
9.5%
(/.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 3 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.8%
(/.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (*.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
9.5%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
7.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (+.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
9.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (/.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
4.2%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
9.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
9.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
4.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
9.5%
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))))
9.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
9.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))))
9.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
9.5%
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))
7.7%
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.6%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
7.8%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
9.5%
(/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.8%
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (*.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))))))
7.7%
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
7.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
✓9.6%
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
✓3.9%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓7.6%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓4.1%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.7%
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓9.5%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
5.5%
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
7.7%
(*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(*.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 4 binary64))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (neg.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
7.7%
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
7.7%
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(*.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
9.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
2.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
7.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
Compiler

Compiled 11736 to 2334 computations (80.1% saved)

regimes241.0ms (1.4%)

Counts
125 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))))
Outputs
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
Calls

7 calls:

42.0ms
x
30.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
30.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
29.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
28.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.6%1x
9.6%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.6%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.6%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.6%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.6%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.6%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes121.0ms (0.7%)

Counts
64 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
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(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(fma.f64 (/.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
Outputs
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))))
Calls

7 calls:

18.0ms
x
16.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
16.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
15.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
15.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
9.5%1x
9.5%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.5%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.5%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.5%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.5%1(-.f64 #s(literal 1 binary64) x)
9.5%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes102.0ms (0.6%)

Counts
54 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (neg.f64 (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 4 binary64)) (PI.f64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
Calls

7 calls:

18.0ms
x
15.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
15.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
14.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
12.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.5%1x
9.5%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.5%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.5%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.5%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.5%1(-.f64 #s(literal 1 binary64) x)
9.5%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes2.0ms (0%)

Accuracy

Total -2.0b remaining (-3.3%)

Threshold costs -2b (-3.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
48×*-commutative_binary64
40×+-commutative_binary64
22×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054127
182127
294127
3106127
4127127
5139127
6147127
7150127
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
Outputs
(-.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 3/2 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))

soundness1.5s (8.4%)

Rules
6134×*-lowering-*.f32
6134×*-lowering-*.f64
4800×*-lowering-*.f32
4800×*-lowering-*.f64
4326×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0674584
12374104
25493660
317463552
462443552
080273552
01795956
15715323
215185290
351635290
081075290
01139
18538
265038
0811838
02835003
18894623
226964598
080234598
053398
1377335
24081333
08203333
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 250 to 120 computations (52% saved)

preprocess47.0ms (0.3%)

Compiler

Compiled 290 to 134 computations (53.8% saved)

end0.0ms (0%)

Profiling

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