Ian Simplification

Time bar (total: 2.3min)

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: 3.0ms
ival-div: 1.0ms (38.2% of total)
ival-asin: 1.0ms (38.2% 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)

sample3.9s (2.9%)

Results
2.1s3259×2valid
1.4s4803×1valid
19.0ms194×0valid
0.0ms2×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-asin: 1.0s (37.4% of total)
ival-mult: 496.0ms (17.8% of total)
backward-pass: 314.0ms (11.3% of total)
ival-div: 311.0ms (11.2% of total)
ival-sub: 256.0ms (9.2% of total)
ival-sqrt: 208.0ms (7.5% of total)
ival-pi: 131.0ms (4.7% of total)
const: 29.0ms (1% of total)
Bogosity

preprocess82.0ms (0.1%)

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))

explain331.0ms (0.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2521(0.007924009806035635)1(0.025344534907959265)(-.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
144.0ms204×2valid
115.0ms298×1valid
1.0ms10×0valid
Compiler

Compiled 118 to 35 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-asin: 66.0ms (42.8% of total)
backward-pass: 22.0ms (14.3% of total)
ival-div: 19.0ms (12.3% of total)
ival-sub: 15.0ms (9.7% of total)
ival-sqrt: 13.0ms (8.4% of total)
ival-mult: 12.0ms (7.8% of total)
ival-pi: 6.0ms (3.9% 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
▶6.8%
(-.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)

simplify32.0ms (0%)

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

localize151.0ms (0.1%)

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))))
✓accuracy8.4%
(-.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
67.0ms102×2valid
62.0ms149×1valid
1.0ms5×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-asin: 31.0ms (41% of total)
backward-pass: 11.0ms (14.6% of total)
ival-div: 9.0ms (11.9% of total)
ival-pi: 7.0ms (9.3% of total)
ival-sub: 6.0ms (7.9% of total)
ival-sqrt: 6.0ms (7.9% of total)
ival-mult: 5.0ms (6.6% of total)
const: 1.0ms (1.3% of total)

series5.0ms (0%)

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
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
@0
(sqrt (/ (- 1 x) 2))
0.0ms
x
@inf
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))

rewrite279.0ms (0.2%)

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
265638
0813438
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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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))))) (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 #s(literal 4 binary64) (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)))))) (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 (PI.f64) (/.f64 #s(literal 4 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))) (+.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (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 (PI.f64) (/.f64 #s(literal 4 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))) (+.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 #s(literal 4 binary64) (PI.f64))) (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 (PI.f64) (/.f64 #s(literal 4 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))) (+.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (-.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 (PI.f64) (/.f64 #s(literal 4 binary64) (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)))) (-.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 (PI.f64) (/.f64 #s(literal 4 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))) (+.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 #s(literal 4 binary64) (PI.f64))) (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 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (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 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (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 1 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) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.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 x #s(literal -1 binary64)))))
(/.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #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 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.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)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.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)))

simplify230.0ms (0.2%)

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
2975619
33438611
08107611
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 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 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 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 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 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 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 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -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)))))))

eval50.0ms (0%)

Compiler

Compiled 10128 to 1187 computations (88.3% saved)

prune107.0ms (0.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New31519334
Fresh000
Picked011
Done000
Total31520335
Accuracy
9.9%
Counts
335 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (PI.f64) #s(literal 2 binary64))))
6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
▶6.8%
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
▶6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (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))))))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.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 9 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (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 (PI.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 #s(literal 4 binary64) (PI.f64))) (*.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)))) (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) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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))))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)))))))
6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
6.8%
(/.f64 (*.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 #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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
6.8%
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.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 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (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 (PI.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))))
6.8%
(/.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)))))
6.8%
(-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (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)))))))
▶8.2%
(-.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))))
6.7%
(-.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)))))))
✓6.8%
(-.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))))))
▶4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
6.8%
(*.f64 (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
▶6.8%
(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 2378 to 883 computations (62.9% saved)

simplify240.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.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)))
✓cost-diff0
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
✓cost-diff0
(-.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)))
✓cost-diff0
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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-diff0
(/.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))))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓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-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.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))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.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
3204×*-lowering-*.f32
3204×*-lowering-*.f64
2176×sum4-define
1976×fma-lowering-fma.f32
1976×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055755
1145706
2455699
31732699
46399699
08085699
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
(- (/ (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
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))
1
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))
(/ (PI) 2)
(PI)
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
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
4
(* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))
-4
(pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
(* 2 (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
4
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))
(/ (PI) 2)
(+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))))
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6))
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64)
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (PI))
(PI)
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
64
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)
(* 2 (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
6
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))
(/ (PI) 2)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
4
(pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)
(* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2)))
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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #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
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 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 1/2)))
(*.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)
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))))))
(/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))
(/.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))))))))
1
#s(literal 1 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))
(PI)
(PI.f64)
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
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
(/ (PI) (/ 4 (PI)))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (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))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 4 binary64)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
16
#s(literal 16 binary64)
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
(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 4 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))))))
2
#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
4
#s(literal 4 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
(+ (/ (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))
(+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))
(/ (PI) (/ 4 (PI)))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
(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)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 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 (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 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (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) (PI.f64)) #s(literal 16 binary64))))))))
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)))
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64))
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(* (PI) (* (PI) (* (PI) (PI))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
64
#s(literal 64 binary64)
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)
(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))
(* 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))))))
2
#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
6
#s(literal 6 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (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 (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 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (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) (PI.f64)) #s(literal 16 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))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (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 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (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) (PI.f64)) #s(literal 16 binary64))))))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
16
#s(literal 16 binary64)
(+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (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 4 binary64)) (pow.f64 (*.f64 (PI.f64) (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))) 4)
(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 4 binary64))
4
#s(literal 4 binary64)
(pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)
(pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2)))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))

localize1.4s (1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(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))
✓accuracy97.6%
(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))
✓accuracy8.4%
(-.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)))
✓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))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(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))
✓accuracy8.3%
(-.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)))
✓accuracy100.0%
(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))
✓accuracy99.4%
(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓accuracy98.5%
(asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓accuracy8.4%
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
✓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%
(+.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)))
✓accuracy100.0%
(acos.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓accuracy8.4%
(-.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
1.2s256×2valid
Compiler

Compiled 876 to 56 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 531.0ms
ival-mult: 107.0ms (20.1% of total)
ival-pow: 99.0ms (18.6% of total)
backward-pass: 95.0ms (17.9% of total)
ival-asin: 62.0ms (11.7% of total)
ival-acos: 49.0ms (9.2% of total)
ival-div: 47.0ms (8.8% of total)
ival-sub: 29.0ms (5.5% of total)
ival-add: 27.0ms (5.1% of total)
ival-sqrt: 7.0ms (1.3% of total)
ival-pi: 5.0ms (0.9% of total)
const: 4.0ms (0.8% of total)

series65.0ms (0%)

Counts
28 → 228
Calls
Call 1
Inputs
#<alt (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)>
#<alt (pow (- 1/2 (/ x 2)) 1/2)>
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)))>
#<alt (/ (PI) 2)>
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))>
#<alt (PI)>
#<alt (* 2 (asin (sqrt 1/2)))>
#<alt (* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))>
#<alt (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))>
#<alt (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))>
#<alt (/ (* (* (PI) (PI)) (* (PI) (PI))) 16)>
#<alt (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6))>
#<alt (acos (pow (- 1/2 (/ x 2)) 1/2))>
#<alt (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))>
#<alt (asin (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))>
#<alt (asin (pow (- 1/2 (/ x 2)) 1/2))>
#<alt (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)>
#<alt (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
#<alt (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))>
#<alt (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<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 (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 (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (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)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))>
#<alt (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))>
#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))>
#<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 (+ (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 (+ (* -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 (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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 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)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))>
#<alt (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))>
Calls

57 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
3.0ms
x
@0
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))))
3.0ms
x
@0
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
3.0ms
x
@0
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
2.0ms
x
@-inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))))

rewrite419.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
3532×*-lowering-*.f32
3532×*-lowering-*.f64
1970×/-lowering-/.f32
1970×/-lowering-/.f64
1466×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055409
1404354
24619326
08171326
Stop Event
1×iter limit
1×node limit
Counts
28 → 601
Calls
Call 1
Inputs
(* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)
(pow (- 1/2 (/ x 2)) 1/2)
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(/ (PI) 2)
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(PI)
(* 2 (asin (sqrt 1/2)))
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))))
(+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4) (pow (* (PI) (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))))
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6))
(acos (pow (- 1/2 (/ x 2)) 1/2))
(+ (PI) (* (- 0 (acos (pow (- 1/2 (/ x 2)) 1/2))) 2))
(asin (sqrt 1/2))
(sqrt 1/2)
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(asin (pow (- 1/2 (/ x 2)) 1/2))
(pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (+ (/ (PI) 2) (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 6)
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
(neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(neg.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) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))) (pow.f64 (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) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #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 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 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 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
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(*.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 (PI.f64) (/.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 (*.f64 (PI.f64) (/.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))))))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (*.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 -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)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.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 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.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)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.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)) (*.f64 (log.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))))
(-.f64 #s(literal 0 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 6 binary64)))
(neg.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 #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 #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))
(pow.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 4 binary64)) #s(literal 3/2 binary64))
(pow.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)) #s(literal 3 binary64))
(pow.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 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.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))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.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 #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.f64 (*.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 -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 2 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(pow.f64 (exp.f64 (log.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))))) #s(literal 3 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))) (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 4 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 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 (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 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 #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.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64)))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 6 binary64)))
(*.f64 #s(literal 64 binary64) (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 6 binary64))))
(*.f64 #s(literal -1 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 6 binary64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 6 binary64)) #s(literal -64 binary64))
(*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 6 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 3 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)))
(*.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 3 binary64)) (neg.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 3 binary64))))
(*.f64 (neg.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 3 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)))
(*.f64 (pow.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))) #s(literal 3/2 binary64)) (pow.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))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(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 (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 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))

simplify295.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3900×*-lowering-*.f32
3900×*-lowering-*.f64
1448×fma-lowering-fma.f32
1448×fma-lowering-fma.f64
1344×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01704408
15203907
214403874
348943871
080833871
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* -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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (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))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* 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)))))
(* 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))))))
(* -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))))))))
(- (* 1/2 (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)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 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)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 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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(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 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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(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
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(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
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(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
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(/ (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))) (* (+ (* 1/16 (pow (PI) 4)) (+ (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* (pow (PI) 2) (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
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(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
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(acos (sqrt (- 1/2 (* 1/2 x))))
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(acos (sqrt (- 1/2 (* 1/2 x))))
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(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
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(+ (* -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)))
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(+ (* -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)))
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(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
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(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)
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(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)
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(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
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(* (+ (* 1/4 (pow (PI) 2)) (* 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)) (* 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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(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
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(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
Outputs
(* -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)))))
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(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
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(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
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(sqrt 1/2)
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(pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(*.f64 #s(literal 16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* (+ (* 1/4 (pow (PI) 2)) (* 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 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (+.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))))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)))

eval460.0ms (0.3%)

Compiler

Compiled 144855 to 7009 computations (95.2% saved)

prune326.0ms (0.2%)

Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New2252372289
Fresh10414
Picked415
Done011
Total2266432309
Accuracy
10.1%
Counts
2309 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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)))))))))
6.8%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.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 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))) (+.f64 (*.f64 (PI.f64) (/.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))))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.8%
(/.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 (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 4 binary64)) #s(literal 3/2 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.7%
(/.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) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.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)) #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.7%
(/.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) (-.f64 (/.f64 (PI.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 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (pow.f64 (/.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) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.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))) #s(literal 2 binary64))) (-.f64 (/.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) (*.f64 (PI.f64) (PI.f64)))) (*.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))))))
6.8%
(/.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 (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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 (PI.f64) (/.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)))))
▶5.3%
(/.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 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
▶6.8%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
▶8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)))))))
8.2%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
8.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
4.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
6.7%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))))))
8.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (PI.f64))))))
6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
6.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (/.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 (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))))))))
6.8%
(/.f64 (*.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) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) (+.f64 (*.f64 (PI.f64) (/.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))))
6.8%
(/.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)))))
4.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (/.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)))))))
8.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
▶5.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
6.7%
(-.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)))))))
✓6.8%
(-.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))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
6.8%
(*.f64 (pow.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 -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
▶6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.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)))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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)))))
6.7%
(*.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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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)))))
8.2%
(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (/.f64 (PI.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)))))
6.8%
(*.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 (PI.f64) (/.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)))))
5.3%
(*.f64 (/.f64 #s(literal 1 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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
1.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.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 (PI.f64) (/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
Compiler

Compiled 4414 to 2168 computations (50.9% saved)

simplify221.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.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)))
✓cost-diff0
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓cost-diff64
(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) (/.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 #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)))))))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
✓cost-diff0
(-.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)))
✓cost-diff0
(/.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 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
Rules
4450×*-lowering-*.f32
4450×*-lowering-*.f64
2864×+-lowering-+.f64
2864×+-lowering-+.f32
1898×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0721014
1186967
2599950
32544946
08374946
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)
(- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(* (acos (sqrt (+ 1/2 (/ x -2)))) 2)
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
3
(+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))))
(* (PI) (/ (PI) 4))
(/ (PI) 4)
4
(* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))))
(+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))
(/ (PI) 2)
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)))
(/ (PI) 2)
(PI)
2
(+ (PI) (* (- 0 (acos (sqrt 1/2))) 2))
(* (- 0 (acos (sqrt 1/2))) 2)
(- 0 (acos (sqrt 1/2)))
0
(acos (sqrt 1/2))
(sqrt 1/2)
1/2
(* (/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2))))))))
1
(+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2)))))))
(/ (PI) 2)
(PI)
2
(* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2))))))
(- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2)))))
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(/ (PI) (/ 4 (PI)))
(/ 4 (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))
(/ x 2)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
(* 2 (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
4
(* (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(+ (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(* 2 (asin (sqrt 1/2)))
(asin (sqrt 1/2))
(sqrt 1/2)
(+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
(* 2 (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
4
(* (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)))
(* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))
(+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)))
(* (PI) (/ (PI) 4))
(/ (PI) 4)
(* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))
-4
(pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)
(asin (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
(/ x -2)
-2
(/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))
1
(+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))
(/ (PI) 2)
(* -2 (asin (sqrt (+ 1/2 (/ x -2)))))
(+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2)
Outputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -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) (*.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) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (*.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
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#s(literal -2 binary64)
(/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))
(/.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))))))))
1
#s(literal 1 binary64)
(+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))
(+.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) (/ 4 (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
(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))

localize1.5s (1.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(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))
✓accuracy8.4%
(+.f64 (*.f64 (PI.f64) (/.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))))
✓accuracy8.4%
(+.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)))))))
✓accuracy8.3%
(-.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)))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy97.6%
(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))
✓accuracy8.3%
(-.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)))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓accuracy98.5%
(asin.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓accuracy8.4%
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy98.5%
(+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))))
✓accuracy98.5%
(pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy8.4%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)))
Results
1.2s256×2valid
Compiler

Compiled 1118 to 73 computations (93.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 674.0ms
backward-pass: 128.0ms (19% of total)
ival-pow: 105.0ms (15.6% of total)
ival-asin: 98.0ms (14.5% of total)
ival-acos: 96.0ms (14.2% of total)
ival-mult: 91.0ms (13.5% of total)
ival-div: 65.0ms (9.6% of total)
ival-add: 39.0ms (5.8% of total)
ival-sub: 26.0ms (3.9% of total)
ival-sqrt: 17.0ms (2.5% of total)
ival-pi: 5.0ms (0.7% of total)
const: 4.0ms (0.6% of total)

series44.0ms (0%)

Counts
29 → 216
Calls
Call 1
Inputs
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (- 0 (acos (sqrt 1/2))) 2)>
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (* (/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))>
#<alt (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2))))))>
#<alt (pow (- 1/2 (/ x 2)) 1/2)>
#<alt (/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2))))))))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))>
#<alt (/ (* (* (PI) (PI)) (* (PI) (PI))) 16)>
#<alt (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))>
#<alt (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)>
#<alt (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))))>
#<alt (acos (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))>
#<alt (asin (pow (- 1/2 (/ x 2)) 1/2))>
#<alt (acos (sqrt (+ 1/2 (/ x -2))))>
#<alt (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)>
#<alt (asin (sqrt 1/2))>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
#<alt (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))>
#<alt (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)))>
Outputs
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))>
#<alt (* 2 (- (* 1/2 (PI)) (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 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
#<alt (/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))>
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Calls

54 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
4.0ms
x
@-inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
3.0ms
x
@-inf
(* (/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
3.0ms
x
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))))))
2.0ms
x
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))))))

rewrite378.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
3354×*-lowering-*.f32
3354×*-lowering-*.f64
2486×/-lowering-/.f32
2486×/-lowering-/.f64
1544×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072432
1523268
26160262
08040262
Stop Event
1×iter limit
1×node limit
Counts
29 → 814
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(* (- 0 (acos (sqrt 1/2))) 2)
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt 1/2))) 2)))
(/ (PI) 2)
(PI)
(* (/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2))))))
(pow (- 1/2 (/ x 2)) 1/2)
(/ 1 (+ (/ (PI) 2) (* 2 (- (/ (PI) 2) (acos (sqrt (+ 1/2 (/ x -2))))))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt 1/2)))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)) (* (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))) (+ (/ (PI) (/ 4 (PI))) (pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 2))))
(pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)
(+ (* (PI) (/ (PI) 4)) (* (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) (+ (/ (PI) 2) (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)))))
(acos (sqrt 1/2))
(sqrt 1/2)
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(asin (pow (- 1/2 (/ x 2)) 1/2))
(acos (sqrt (+ 1/2 (/ x -2))))
(pow (* 2 (asin (pow (- 1/2 (/ x 2)) 1/2))) 4)
(asin (sqrt 1/2))
(* (* (PI) (PI)) (* (PI) (PI)))
(+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))
(+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)))
Outputs
(+.f64 (/.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 8 binary64))) (neg.f64 (/.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 3 binary64)) (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (PI.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 8 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 3 binary64)) (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 1/2 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)))))))
(neg.f64 (/.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 (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 0 binary64) (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.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 (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) (*.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) (*.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) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(/.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 (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) (*.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) (*.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) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 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)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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 #s(literal 0 binary64) (-.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 (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 0 binary64) (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
(/.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 (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 9 binary64))) (*.f64 (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (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) (PI.f64))) #s(literal 8 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 3 binary64)))))))
(/.f64 (-.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 (+.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 (PI.f64) #s(literal 2 binary64))))
(/.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 (+.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.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 (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) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.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 3 binary64)))) (*.f64 (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))
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(*.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.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))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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)))))

simplify276.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3904×*-lowering-*.f32
3904×*-lowering-*.f64
1576×fma-lowering-fma.f32
1576×fma-lowering-fma.f64
1340×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01844948
15694411
215104342
351354342
080474342
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (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))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* 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)))))
(* 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))))))
(* -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 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ 1 (+ (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(/ (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))) (* (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))) (+ (* 1/2 (PI)) (* 2 (asin (sqrt 1/2))))))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))))
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))) (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
(/ (* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (- (* 1/16 (pow (PI) 4)) (* 16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)))) (* (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)))))
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Outputs
(/ (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (- (+ (PI) (* 1/2 (PI))) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))))
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(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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))))
(+ (* -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 #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))))
(+ (* -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 #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))))
(+ (* -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 #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))))
(+ (* -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 #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))))
(+ (* -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 #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))))
(+ (* -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 #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))))

eval651.0ms (0.5%)

Compiler

Compiled 145282 to 6106 computations (95.8% saved)

prune359.0ms (0.3%)

Pruning

58 alts after pruning (56 fresh and 2 done)

PrunedKeptTotal
New2174262200
Fresh63036
Picked505
Done022
Total2185582243
Accuracy
10.1%
Counts
2243 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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)))))))))
6.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.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 (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.7%
(/.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 (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) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.7%
(/.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)) (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) (PI.f64))) #s(literal 8 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 3 binary64)))) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
5.3%
(/.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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))))
6.7%
(/.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 binary64))))) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.8%
(/.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 (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 4 binary64)) #s(literal 3/2 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.7%
(/.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) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
5.4%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 2 binary64))) (*.f64 (+.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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.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)) #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
5.3%
(/.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) (-.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 4 binary64))) (*.f64 (+.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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 (PI.f64) (/.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)))))
5.3%
(/.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 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
5.3%
(/.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 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
6.8%
(/.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 (/.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 #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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
5.3%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
▶8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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))) (+.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))))))
6.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)))))))
8.2%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
8.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
4.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
8.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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) (*.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) (*.f64 (PI.f64) (PI.f64))) (pow.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 (*.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) (*.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)))))))
6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
5.3%
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
6.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (/.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 (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))))))))
6.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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)))) (+.f64 (*.f64 (PI.f64) #s(literal 1 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)))))
6.8%
(/.f64 (*.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) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) (+.f64 (*.f64 (PI.f64) (/.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))))
6.8%
(/.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)))))
4.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (/.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)))))))
8.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
▶5.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
6.7%
(-.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)))))))
✓6.8%
(-.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))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
6.8%
(*.f64 (pow.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 -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
▶6.8%
(*.f64 (/.f64 (*.f64 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.f64 (PI.f64) (/.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 (/.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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)))))
6.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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)))))
▶6.8%
(*.f64 (/.f64 #s(literal 1 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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.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)))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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)))))
6.7%
(*.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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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)))))
8.2%
(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (/.f64 (PI.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)))))
6.8%
(*.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 (PI.f64) (/.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)))))
5.3%
(*.f64 (/.f64 #s(literal 1 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) (/.f64 #s(literal 4 binary64) (PI.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)))))
▶6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
1.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.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 (PI.f64) (/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
Compiler

Compiled 6324 to 3228 computations (49% saved)

simplify239.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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-diff0
(/.f64 (*.f64 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.f64 (PI.f64) (/.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)))))
✓cost-diff0
(*.f64 (/.f64 (*.f64 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.f64 (PI.f64) (/.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 (/.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)))))
✓cost-diff64
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff64
(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) (/.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 #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)))))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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))))))))))
✓cost-diff40320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓cost-diff0
(/.f64 #s(literal 1 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))))))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
✓cost-diff6528
(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))
✓cost-diff0
(-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #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 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
✓cost-diff64
(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) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))))
Rules
4242×+-lowering-+.f64
4242×+-lowering-+.f32
4114×*-lowering-*.f32
4114×*-lowering-*.f64
1996×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911575
12511460
28531335
341481334
085021334
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)
(- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2))
(* (acos (sqrt (+ 1/2 (/ x -2)))) 2)
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
3
(/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4)))))
(+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3))
(* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16))))
(/ (* (PI) (PI)) 4)
4
(* (PI) (* (PI) (/ (* (PI) (PI)) 16)))
(* (PI) (/ (* (PI) (PI)) 16))
(/ (* (PI) (PI)) 16)
16
(pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)
(* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2)))
(+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))
(/ (PI) 2)
(+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))
(* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4)))
(- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))
(- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2)))
(/ (PI) 2)
(PI)
2
(- (PI) (* (acos (sqrt 1/2)) 2))
(* (acos (sqrt 1/2)) 2)
(acos (sqrt 1/2))
(sqrt 1/2)
1/2
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)))))
1
(+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)))
(asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))
(pow (pow (+ 1/2 (/ x -2)) 1/4) 2)
(pow (+ 1/2 (/ x -2)) 1/4)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
1/4
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(/ (PI) (/ 4 (PI)))
(/ 4 (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))
(/ x 2)
(* (/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))))
1
(* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))
(+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)))
(* (PI) (/ (PI) 4))
(PI)
(/ (PI) 4)
4
(* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))
-4
(pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)
(asin (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
2
(/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))
(+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))
(/ (PI) 2)
(* -2 (asin (sqrt (+ 1/2 (/ x -2)))))
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
(* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))
(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))
(/ x 2)
(* (/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))) (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4))))
(* (+ (/ (* (PI) (PI)) 4) (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) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(* 2 (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
(+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(/ (PI) 2)
(* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))
(+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))
(* (PI) (* (PI) (/ (* (PI) (PI)) 16)))
(* (PI) (/ (* (PI) (PI)) 16))
(/ (* (PI) (PI)) 16)
16
(* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4))
-16
(pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
(+ (/ (* (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))
-4
(pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)
Outputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))
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(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2)))) 2)
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(acos (sqrt (+ 1/2 (/ x -2))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -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) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4)))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)))) (pow.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 (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) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (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) #s(literal 2 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 (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) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))))
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(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)))) (pow.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 (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) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (PI) (* (PI) (/ (* (PI) (PI)) 16)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (PI) (/ (* (PI) (PI)) 16))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
(/ (* (PI) (PI)) 16)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))
16
#s(literal 16 binary64)
(pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)
(pow.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 (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) #s(literal 2 binary64))))) #s(literal 3 binary64))
(* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 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 #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 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))))))
(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))))
(+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))
(+.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) #s(literal 2 binary64))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (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) #s(literal 2 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 (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) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))))
(* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4)))
(*.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 (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) #s(literal 2 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 (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) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))
(+.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 (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) #s(literal 2 binary64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))
(- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2)))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(- (PI) (* (acos (sqrt 1/2)) 2))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(* (acos (sqrt 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(acos (sqrt 1/2))
(acos.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)
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/.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 (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 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)))))
(/.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))))))))
1
#s(literal 1 binary64)
(+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 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))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (pow (+ 1/2 (/ x -2)) 1/4) 2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(pow (+ 1/2 (/ x -2)) 1/4)
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 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)
1/4
#s(literal 1/4 binary64)
(+ (/ (PI) (/ 4 (PI))) (* -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) (/ 4 (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (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)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
(* (/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 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)))))))
(/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -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)) (*.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)))))
1
#s(literal 1 binary64)
(* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))
(/.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 (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)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -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) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* -4 (pow (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(sqrt (+ 1/2 (/ x -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) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))
(/.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))))))))
(+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2)))))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(+ (/ (PI) (/ 4 (PI))) (* -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) (/ 4 (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
(* -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)))
(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)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
(* (/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))) (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(*.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) #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)) (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 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))))
(/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4))))
(*.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 (*.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
(* (+ (/ (* (PI) (PI)) 4) (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))))))))
(+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+.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)
(/.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 (* 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))
(* 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))))))
2
#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))))
(+.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))))))
(+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))
(* (PI) (* (PI) (/ (* (PI) (PI)) 16)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(* (PI) (/ (* (PI) (PI)) 16))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
(/ (* (PI) (PI)) 16)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))
16
#s(literal 16 binary64)
(* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4))
(*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))
-16
#s(literal -16 binary64)
(pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 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))))
(* -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))

localize1.5min (64.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(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))
✓accuracy8.4%
(+.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))))
✓accuracy8.4%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓accuracy8.3%
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy8.4%
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
✓accuracy8.4%
(+.f64 (*.f64 (PI.f64) (/.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))))
✓accuracy8.4%
(+.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)))))))
✓accuracy98.5%
(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)))
✓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%
(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))
✓accuracy8.4%
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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))))
✓accuracy100.0%
(*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))
✓accuracy8.4%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)))
Results
1.2min256×2valid
Compiler

Compiled 1665 to 92 computations (94.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0s
backward-pass: 19.8s (53.6% of total)
ival-pow: 16.4s (44.5% of total)
ival-mult: 198.0ms (0.5% of total)
ival-div: 153.0ms (0.4% of total)
ival-asin: 137.0ms (0.4% of total)
ival-add: 83.0ms (0.2% of total)
ival-acos: 80.0ms (0.2% of total)
ival-sub: 22.0ms (0.1% of total)
ival-sqrt: 17.0ms (0% of total)
ival-pi: 7.0ms (0% of total)
const: 5.0ms (0% of total)

series48.0ms (0%)

Counts
34 → 288
Calls
Call 1
Inputs
#<alt (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16))))>
#<alt (pow (+ 1/2 (/ x -2)) 1/2)>
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3))>
#<alt (- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2)))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (- (PI) (* (acos (sqrt 1/2)) 2))>
#<alt (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)>
#<alt (* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))>
#<alt (pow (- 1/2 (/ x 2)) 1/2)>
#<alt (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)))))>
#<alt (* (/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))>
#<alt (/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))))>
#<alt (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))>
#<alt (* (/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))) (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))))>
#<alt (/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4))))>
#<alt (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))>
#<alt (acos (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (* (acos (sqrt 1/2)) 2)>
#<alt (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))>
#<alt (asin (pow (- 1/2 (/ x 2)) 1/2))>
#<alt (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))>
#<alt (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))>
#<alt (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)))>
#<alt (asin (sqrt (+ 1/2 (/ x -2))))>
#<alt (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))>
#<alt (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))>
#<alt (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2)))>
#<alt (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)>
Outputs
#<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 (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (/ (* (+ (* 1/16 (pow (PI) 4)) (* (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (* (+ (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))))) (* 1/2 (PI))))) (* 1/4 (pow (PI) 2)))))) (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))) (+ (* 1/64 (pow (PI) 6)) (* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (- (PI) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))>
#<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))))))>
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#<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 (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 (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
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#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (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 (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))))>
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#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
#<alt (+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))>
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#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
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#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)>
#<alt (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
#<alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)>
Calls

72 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(* (/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
6.0ms
x
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))
5.0ms
x
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))
5.0ms
x
@-inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))
3.0ms
x
@0
(* (/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))) (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))))

rewrite31.3s (23%)

Algorithm
1×batch-egg-rewrite
Rules
3916×*-lowering-*.f32
3916×*-lowering-*.f64
2552×/-lowering-/.f32
2552×/-lowering-/.f64
1166×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091667
1659472
27266472
08114472
Stop Event
1×iter limit
1×node limit
Counts
34 → 945
Calls
Call 1
Inputs
(* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16))))
(pow (+ 1/2 (/ x -2)) 1/2)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3)) (/ (+ (* (/ (* (PI) (PI)) 4) (* (PI) (* (PI) (/ (* (PI) (PI)) 16)))) (pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (- (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) (/ (* (PI) (PI)) 4))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (- (PI) (* (acos (sqrt (+ 1/2 (/ x -2)))) 2)) 3))
(- (/ (PI) 2) (- (PI) (* (acos (sqrt 1/2)) 2)))
(/ (PI) 2)
(PI)
(- (PI) (* (acos (sqrt 1/2)) 2))
(pow (pow (+ 1/2 (/ x -2)) 1/4) 2)
(* (/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(pow (- 1/2 (/ x 2)) 1/2)
(/ 1 (+ (/ (PI) 2) (* 2 (asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2)))))
(* (/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))) (+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2))))
(/ 1 (* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2)))))))))
(* (+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2))) (/ 1 (+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))))
(* (/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))) (+ (/ (* (PI) (PI)) 4) (* -4 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(/ (* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4))))
(* (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2)))))
(pow (* (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (+ (+ (PI) (* -2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))) (/ (PI) 2))) 3)
(* (PI) (* (PI) (PI)))
(* (PI) (* (PI) (/ (* (PI) (PI)) 16)))
(acos (sqrt 1/2))
(sqrt 1/2)
(* (acos (sqrt 1/2)) 2)
(+ (/ (PI) (/ 4 (PI))) (* -4 (pow (asin (pow (- 1/2 (/ x 2)) 1/2)) 2)))
(asin (pow (- 1/2 (/ x 2)) 1/2))
(asin (pow (pow (+ 1/2 (/ x -2)) 1/4) 2))
(+ (/ (PI) 2) (* -2 (asin (sqrt (+ 1/2 (/ x -2))))))
(+ (* (PI) (/ (PI) 4)) (* -4 (pow (asin (sqrt (+ 1/2 (/ x -2)))) 2)))
(asin (sqrt (+ 1/2 (/ x -2))))
(+ (* (PI) (* (PI) (/ (* (PI) (PI)) 16))) (* -16 (pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)))
(+ (/ (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)))
(pow (asin (pow (+ 1/2 (/ x -2)) 1/2)) 4)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4 binary64))
(/.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) #s(literal 64 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) #s(literal -64 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal -4 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -4 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3 binary64))
(*.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (PI.f64) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/64 binary64))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (PI.f64) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 4 binary64))) (PI.f64))
(*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))
(*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))) (PI.f64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 1/4 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))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 x x) #s(literal 4 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 1/8 binary64) (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1/2 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)))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 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 (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 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (*.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 1/8 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/8 binary64)))
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simplify342.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4844×*-lowering-*.f32
4844×*-lowering-*.f64
2152×+-lowering-+.f64
2152×+-lowering-+.f32
1788×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02037384
16036565
216386338
373856338
084466338
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (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))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* 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)))))
(* 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))))))
(* -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))))))))
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(* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
(* (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (+ (* 1/4 (pow (PI) 2)) (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(* (pow (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3) (pow (+ (PI) (+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) 3))
(+ (* -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)))
(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))))
(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))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (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)))
(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))))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)) (* 1/16 (pow (PI) 4)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (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)))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
Outputs
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (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))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/128 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(* (sqrt x) (sqrt -1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* 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)))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64)))))))
(* 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))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* 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 #s(literal 1 binary64) (*.f64 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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -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)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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))))))))
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(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
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(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
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(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (- 1/2 (* 1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4)
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 4 binary64))

eval645.0ms (0.5%)

Compiler

Compiled 275207 to 9273 computations (96.6% saved)

prune602.0ms (0.4%)

Pruning

65 alts after pruning (62 fresh and 3 done)

PrunedKeptTotal
New2751122763
Fresh15051
Picked415
Done022
Total2756652821
Accuracy
10.2%
Counts
2821 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 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)))))))))
6.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.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 (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.7%
(/.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 (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) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.7%
(/.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)) (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) (PI.f64))) #s(literal 8 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 3 binary64)))) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
5.3%
(/.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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))))
6.7%
(/.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 binary64))))) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.8%
(/.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 (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 4 binary64)) #s(literal 3/2 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
6.7%
(/.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) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) #s(literal 6 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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))))))
5.4%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 2 binary64))) (*.f64 (+.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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.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)) #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
5.3%
(/.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) (-.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 4 binary64))) (*.f64 (+.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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (*.f64 (PI.f64) (/.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)))))
5.3%
(/.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 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
5.3%
(/.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 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
6.8%
(/.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 (/.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 #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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
5.3%
(/.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 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
7.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
8.3%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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))) (+.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))))))
6.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
6.8%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)))))))
8.2%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
8.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
4.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
8.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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) (*.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) (*.f64 (PI.f64) (PI.f64))) (pow.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 (*.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) (*.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)))))))
6.8%
(/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
5.3%
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
6.8%
(/.f64 (+.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (neg.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 (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))))) (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 3 binary64)))) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
6.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (/.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 (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))))))))
6.8%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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)))) (+.f64 (*.f64 (PI.f64) #s(literal 1 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)))))
6.8%
(/.f64 (*.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) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))) (+.f64 (*.f64 (PI.f64) (/.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))))
6.8%
(/.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)))))
4.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (/.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)))))))
8.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
✓5.4%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
6.7%
(-.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)))))))
✓6.8%
(-.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))))))
✓4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
6.8%
(*.f64 (pow.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 -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 (*.f64 (+.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 2 binary64)) (/.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 (PI.f64) #s(literal 2 binary64))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (/.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)))))
6.8%
(*.f64 (/.f64 (*.f64 (+.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 (/.f64 #s(literal 1 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 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.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 4 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 (PI.f64) (*.f64 (PI.f64) (/.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 (/.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)))))
6.8%
(*.f64 (/.f64 (*.f64 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.f64 (PI.f64) (/.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))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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)))))
6.7%
(*.f64 (/.f64 (*.f64 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.f64 (PI.f64) (/.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 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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)))))
5.3%
(*.f64 (/.f64 (*.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (/.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)))))
6.8%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (/.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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)))))
6.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.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)))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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)))))
6.7%
(*.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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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)))))
8.2%
(*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (/.f64 (PI.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)))))
6.8%
(*.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 (PI.f64) (/.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)))))
5.3%
(*.f64 (/.f64 #s(literal 1 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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) (/.f64 #s(literal 4 binary64) (PI.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)))))
6.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (PI.f64) (/.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 #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) #s(literal 2 binary64)) (*.f64 #s(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)))))))
1.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.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 (PI.f64) (/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)))))) #s(literal -1 binary64)))
Compiler

Compiled 9979 to 2419 computations (75.8% saved)

regimes253.0ms (0.2%)

Counts
95 → 1
Calls
Call 1
Inputs
(-.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 (PI.f64) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (-.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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
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(/.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 (pow.f64 (/.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) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.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))) #s(literal 2 binary64))) (-.f64 (/.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) (*.f64 (PI.f64) (PI.f64)))) (*.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))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 #s(literal 4 binary64) (PI.f64))) (*.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)))) (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) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (/.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 (/.f64 #s(literal 1 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 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.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 4 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 (PI.f64) (*.f64 (PI.f64) (/.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 (/.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 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (/.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 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (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) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 binary64))) (fma.f64 (neg.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 (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))))) (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 3 binary64)))) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
Calls

7 calls:

35.0ms
x
34.0ms
(-.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))))))
30.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
24.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
24.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
8.3%1x
8.3%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))))))
8.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.3%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes197.0ms (0.1%)

Counts
87 → 1
Calls
Call 1
Inputs
(-.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 (PI.f64) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (-.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 (+.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.f64 (PI.f64) (/.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 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 4 binary64)) (pow.f64 (*.f64 (PI.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 (*.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 (/.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 #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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.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 9 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (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 (PI.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.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 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (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 (PI.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))))
(/.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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 3 binary64))))) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (-.f64 (PI.f64) (*.f64 (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 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (*.f64 (+.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 2 binary64)) (/.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 (PI.f64) #s(literal 2 binary64))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (/.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 (*.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 (asin.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 #s(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) (/.f64 #s(literal 4 binary64) (PI.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)))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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))) (+.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))))))
Calls

7 calls:

53.0ms
(-.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))))))
26.0ms
x
22.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
21.0ms
(-.f64 #s(literal 1 binary64) x)
21.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
8.3%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.3%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.3%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.3%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.3%1(-.f64 #s(literal 1 binary64) x)
8.3%1x
8.3%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)

regimes67.0ms (0%)

Counts
32 → 1
Calls
Call 1
Inputs
(-.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 (PI.f64) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (-.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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (PI.f64) (/.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 (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 (PI.f64) (/.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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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)))) (+.f64 (*.f64 (PI.f64) #s(literal 1 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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.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 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (/.f64 (PI.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 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (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 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 #s(literal 1 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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 #s(literal 1 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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.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 #s(literal 1 binary64) (+.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(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) (/.f64 #s(literal 4 binary64) (PI.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (/.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 (pow.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 -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 #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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.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 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.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 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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)))))
Outputs
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
Calls

7 calls:

11.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
11.0ms
(-.f64 #s(literal 1 binary64) x)
9.0ms
x
9.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
8.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.2%1(-.f64 #s(literal 1 binary64) x)
8.2%1x
8.2%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)

regimes101.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(-.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 (PI.f64) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (-.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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (PI.f64) (/.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 (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 (PI.f64) (/.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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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)))) (+.f64 (*.f64 (PI.f64) #s(literal 1 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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.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 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (/.f64 (PI.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 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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)))))
Outputs
(/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))))
Calls

7 calls:

49.0ms
x
25.0ms
(-.f64 #s(literal 1 binary64) x)
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.0ms
(-.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))))))
Results
AccuracySegmentsBranch
8.2%1x
8.2%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))))))
8.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.2%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes85.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(-.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 (PI.f64) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (-.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 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #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 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (PI.f64) (/.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 (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 (PI.f64) (/.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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (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 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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)))) (+.f64 (*.f64 (PI.f64) #s(literal 1 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)))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))))
Calls

7 calls:

57.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.0ms
x
4.0ms
(-.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))))))
4.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
4.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
8.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.2%1(-.f64 #s(literal 1 binary64) x)
8.2%1x
8.2%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)

regimes17.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(-.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 (PI.f64) (*.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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
Outputs
(-.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))))))
Calls

7 calls:

5.0ms
x
2.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
2.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
6.8%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
6.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
6.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
6.8%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
6.8%1(-.f64 #s(literal 1 binary64) x)
6.8%1x
6.8%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%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
4.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify123.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
964×unsub-neg_binary64
704×distribute-lft-neg-in_binary64
594×neg-mul-1_binary64
392×neg-sub0_binary64
308×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088320
1163320
2232320
3303320
4380320
5422320
6572320
7897320
81133320
91199320
101430320
111658320
121915320
132153320
142349320
152500320
162628320
172713320
182766320
192801320
202817320
212822320
222823320
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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))) (+.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 (*.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (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) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (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 #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 (PI.f64) (*.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)))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))) (pow.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (*.f64 (*.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 (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 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.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 (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 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.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))) (+.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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.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 (PI.f64) (*.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 (*.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.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) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.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) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (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 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))

soundness2.9s (2.1%)

Rules
4800×*-lowering-*.f32
4800×*-lowering-*.f64
4346×*-lowering-*.f32
4346×*-lowering-*.f64
3916×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094667
1284641
2975619
33438611
08107611
01139
18538
265638
0813438
091667
1659472
27266472
08114472
055409
1404354
24619326
08171326
072432
1523268
26160262
08040262
01704408
15203907
214403874
348943871
080833871
01844948
15694411
215104342
351354342
080474342
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
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 513 to 175 computations (65.9% saved)

preprocess120.0ms (0.1%)

Compiler

Compiled 678 to 208 computations (69.3% saved)

end0.0ms (0%)

Profiling

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