Ian Simplification

Time bar (total: 2.0min)

analyze5.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

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

sample3.7s (3%)

Results
1.7s3211×2valid
1.2s4858×1valid
163.0ms187×0valid
0.0ms2×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-asin: 1.0s (38.1% of total)
ival-div: 555.0ms (20.6% of total)
ival-sub: 398.0ms (14.7% of total)
ival-mult: 213.0ms (7.9% of total)
ival-sqrt: 194.0ms (7.2% of total)
backward-pass: 170.0ms (6.3% of total)
ival-pi: 112.0ms (4.1% of total)
const: 29.0ms (1.1% of total)
Bogosity

preprocess46.0ms (0%)

Algorithm
2×egg-herbie
Rules
212×accelerator-lowering-fma.f32
212×accelerator-lowering-fma.f64
136×*-lowering-*.f32
136×*-lowering-*.f64
118×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942
14740
29739
319739
431839
545739
656539
767039
869839
971039
01113
12613
24013
35913
48813
512413
618313
724313
829913
933913
1035713
035711
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)))))
(+ (* (PI) 1/2) (* (asin (sqrt (+ 1/2 (* x -1/2)))) -2))
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2)))))
(+ (* (PI) 1/2) (* (asin (sqrt (+ 1/2 (* x 1/2)))) -2))
(neg (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 (neg x)) 2))))))
(+ (* 2 (asin (sqrt (+ 1/2 (* x 1/2))))) (* (PI) -1/2))

explain292.0ms (0.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
00-0-(PI.f64)
00-0-x
00-0-(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
00-0-(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
Results
119.0ms326×1valid
99.0ms170×2valid
2.0ms16×0valid
Compiler

Compiled 118 to 35 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-asin: 73.0ms (47.2% of total)
ival-div: 19.0ms (12.3% of total)
ival-sqrt: 17.0ms (11% of total)
backward-pass: 15.0ms (9.7% of total)
ival-sub: 12.0ms (7.8% of total)
ival-mult: 11.0ms (7.1% 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
▶7.8%
(-.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)

simplify30.0ms (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
212×accelerator-lowering-fma.f32
212×accelerator-lowering-fma.f64
136×*-lowering-*.f32
136×*-lowering-*.f64
96×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
12650
24050
35950
48850
512450
618350
724350
829950
933950
1035750
035744
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

localize126.0ms (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))))
✓accuracy9.2%
(-.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
54.0ms163×1valid
47.0ms85×2valid
1.0ms8×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-asin: 30.0ms (41.7% of total)
ival-sub: 11.0ms (15.3% of total)
ival-div: 9.0ms (12.5% of total)
backward-pass: 7.0ms (9.7% of total)
ival-sqrt: 5.0ms (7% of total)
ival-mult: 5.0ms (7% of total)
ival-pi: 3.0ms (4.2% of total)
const: 1.0ms (1.4% of total)

series23.0ms (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)))))

rewrite484.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
7926×accelerator-lowering-fma.f32
7926×accelerator-lowering-fma.f64
4770×*-lowering-*.f32
4770×*-lowering-*.f64
2994×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
18139
261839
3725639
0819934
Stop Event
1×iter limit
1×node limit
Counts
6 → 426
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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(+.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(-.f64 (/.f64 (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 0 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 (asin.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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
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(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #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 (PI.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))))))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #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))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 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 (+.f64 #s(literal 1 binary64) x) #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 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #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 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (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 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (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) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))

simplify755.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
29474×accelerator-lowering-fma.f32
29474×accelerator-lowering-fma.f64
6734×*-lowering-*.f32
6734×*-lowering-*.f64
2308×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094712
1265681
2828665
32517648
45792648
08056620
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 #s(literal 1/2 binary64) x)))
(+ (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 #s(literal 1/2 binary64) x))))
(* (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 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.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 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))))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (+.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 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))

eval67.0ms (0.1%)

Compiler

Compiled 13186 to 1463 computations (88.9% saved)

prune101.0ms (0.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New44628474
Fresh000
Picked011
Done000
Total44629475
Accuracy
11.0%
Counts
475 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)))
▶7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
7.7%
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (neg.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(fma.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.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 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))) (neg.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(fma.f64 (/.f64 (/.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 #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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.6%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
7.7%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (neg.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
7.7%
(/.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) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))))
▶7.7%
(/.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) (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 (/.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 (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))))))
▶7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.7%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (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) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
7.7%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
7.7%
(/.f64 (*.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))))
7.7%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (*.f64 #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 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
7.7%
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 6 binary64)) (pow.f64 (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
▶9.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
7.8%
(-.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)))))))
✓7.8%
(-.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)))))
7.8%
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))) (*.f64 (+.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))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.8%
(*.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) #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))) (/.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))))))))))
Compiler

Compiled 3602 to 1317 computations (63.4% saved)

simplify786.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))
✓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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (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 (/.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 (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))))))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff64
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
✓cost-diff25856
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
✓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-diff128
(*.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))
✓cost-diff128
(+.f64 (PI.f64) (*.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)))
✓cost-diff128
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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))))
Rules
26318×accelerator-lowering-fma.f32
26318×accelerator-lowering-fma.f64
6216×*-lowering-*.f32
6216×*-lowering-*.f64
5406×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056712
1134671
2379668
31241663
43887663
08551650
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))
(/ (PI) 2)
(PI)
2
(+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2))
(* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)
(- 0 (acos (sqrt (+ 1/2 (/ x -2)))))
0
(acos (sqrt (+ 1/2 (/ x -2))))
(sqrt (+ 1/2 (/ x -2)))
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(/ (PI) 2)
(PI)
2
(* 2 (asin (sqrt 1/2)))
(asin (sqrt 1/2))
(sqrt 1/2)
1/2
(+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(pow (PI) 1/4)
(PI)
1/4
(* (pow (PI) 1/4) (/ (sqrt (PI)) 2))
(/ (sqrt (PI)) 2)
(sqrt (PI))
2
(* (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
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)
(* 2 (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
4
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2)))
(+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2))))))
(/ (PI) 2)
(+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))
(/ (* (PI) (PI)) 4)
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2))))) 6)
(* 2 (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
6
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
(+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2))))))
(/ (PI) 2)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)
4
(pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)
(* (PI) (asin (sqrt (+ 1/2 (/ x -2)))))
Outputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -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 (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)))))))
(* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(- 0 (acos (sqrt (+ 1/2 (/ x -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 (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)
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(* 2 (asin (sqrt 1/2)))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(asin (sqrt 1/2))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -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)))))))
(pow (PI) 1/4)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(* (pow (PI) 1/4) (/ (sqrt (PI)) 2))
(/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))
(/ (sqrt (PI)) 2)
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt (PI))
(sqrt.f64 (PI.f64))
2
#s(literal 2 binary64)
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(asin (sqrt (+ 1/2 (/ 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)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
(/.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (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))))))
2
#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)
4
#s(literal 4 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2)))
(*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(+ (/ (PI) 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))
(+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -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))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(/.f64 (/.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 (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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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)))))
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (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))))))
2
#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)
6
#s(literal 6 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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)))))
(+ (/ (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))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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))))
(/ (* (* (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 (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2)))))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))

localize2.5s (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.9%
(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))
✓accuracy99.7%
(-.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 6 binary64)))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(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))
✓accuracy100.0%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.6%
(-.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 4 binary64)))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy100.0%
(sqrt.f64 (PI.f64))
✓accuracy99.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
✓accuracy6.2%
(PI.f64)
✓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%
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy100.0%
(+.f64 (PI.f64) (*.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)))
✓accuracy99.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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))))
✓accuracy6.2%
(PI.f64)
Results
2.1s248×5exit
22.0ms8×2valid
Compiler

Compiled 755 to 56 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-asin: 837.0ms (47.7% of total)
ival-mult: 187.0ms (10.7% of total)
backward-pass: 183.0ms (10.4% of total)
ival-pow: 130.0ms (7.4% of total)
ival-acos: 100.0ms (5.7% of total)
ival-div: 95.0ms (5.4% of total)
ival-sub: 70.0ms (4% of total)
ival-sqrt: 55.0ms (3.1% of total)
ival-add: 51.0ms (2.9% of total)
compiled-spec: 31.0ms (1.8% of total)
ival-pi: 10.0ms (0.6% of total)
const: 5.0ms (0.3% of total)

series55.0ms (0%)

Counts
26 → 144
Calls
Call 1
Inputs
#<alt (- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))>
#<alt (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2))>
#<alt (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)>
#<alt (/ (PI) 2)>
#<alt (- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))>
#<alt (PI)>
#<alt (* 2 (asin (sqrt 1/2)))>
#<alt (+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))>
#<alt (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))>
#<alt (pow (PI) 1/4)>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4))>
#<alt (/ (* (* (PI) (PI)) (* (PI) (PI))) 16)>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))>
#<alt (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64)>
#<alt (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI)))))>
#<alt (acos (sqrt (+ 1/2 (/ x -2))))>
#<alt (asin (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (sqrt (PI))>
#<alt (asin (sqrt (+ 1/2 (/ x -2))))>
#<alt (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)>
#<alt (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<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 (+ (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 (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))>
#<alt (+ (* -2 (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)))>
#<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 (/ (- (* 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 (/ (- (* 1/64 (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 (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 (* 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 (* 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

36 calls:

TimeVariablePointExpression
8.0ms
x
@0
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
6.0ms
x
@inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
3.0ms
x
@0
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
3.0ms
x
@inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
3.0ms
x
@-inf
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))

rewrite493.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
6344×accelerator-lowering-fma.f32
6344×accelerator-lowering-fma.f64
4164×*-lowering-*.f32
4164×*-lowering-*.f64
2874×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056292
1385246
23921246
08174221
Stop Event
1×iter limit
1×node limit
Counts
26 → 852
Calls
Call 1
Inputs
(- (/ (PI) 2) (+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)))
(+ (PI) (* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2))
(* (- 0 (acos (sqrt (+ 1/2 (/ x -2))))) 2)
(/ (PI) 2)
(- (/ (PI) 2) (* 2 (asin (sqrt 1/2))))
(PI)
(* 2 (asin (sqrt 1/2)))
(+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (/ (sqrt (PI)) 2))) (* (asin (sqrt (+ 1/2 (/ x -2)))) -2))
(* (pow (PI) 1/4) (/ (sqrt (PI)) 2))
(pow (PI) 1/4)
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (PI) (PI)) 4) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(- (/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))
(/ (* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI))))) 64)
(* (* (PI) (PI)) (* (PI) (* (PI) (* (PI) (PI)))))
(acos (sqrt (+ 1/2 (/ x -2))))
(asin (sqrt 1/2))
(sqrt 1/2)
(sqrt (PI))
(asin (sqrt (+ 1/2 (/ x -2))))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))))
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(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 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))
(pow.f64 (*.f64 #s(literal 2 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 (pow.f64 (*.f64 #s(literal -2 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)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 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 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 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 64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 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))) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal -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))) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
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(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 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))
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(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.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 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))

simplify700.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
20348×accelerator-lowering-fma.f32
20348×accelerator-lowering-fma.f64
5996×*-lowering-*.f32
5996×*-lowering-*.f64
2820×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0762760
12192760
24632760
313342736
432872736
562602736
082862388
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(+ (* -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)))
(/ (- (* 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))))))))
(/ (- (* 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)))
(- (* 1/16 (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)))
(/ (- (* 1/64 (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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(- (* 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)))
(- (* 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)))
(- (* 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)))
(- (* 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)))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(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))
(* 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))
(* 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))
(* 16 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 4))
(* 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))
(* 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))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
Outputs
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(- (* 1/2 (PI)) (+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+ (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) x))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+.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 #s(literal 1/2 binary64) 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))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))) (*.f64 (+.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 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.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)))))
(/ (- (* 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))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))) (*.f64 (+.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 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.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)))))
(/ (- (* 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))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64)) #s(literal -16 binary64))) (*.f64 (+.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 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.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)))))
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(*.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)))
(* 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)))

eval472.0ms (0.4%)

Compiler

Compiled 131301 to 6822 computations (94.8% saved)

prune447.0ms (0.4%)

Pruning

46 alts after pruning (44 fresh and 2 done)

PrunedKeptTotal
New2262322294
Fresh111223
Picked415
Done011
Total2277462323
Accuracy
11.3%
Counts
2323 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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 #s(literal 1/16 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (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 (PI.f64) (*.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) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (/.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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (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 (PI.f64) (*.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)))))))
7.7%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
7.7%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.8%
(/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))) (*.f64 (+.f64 (/.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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.7%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))) (*.f64 (+.f64 (/.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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.8%
(/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))) (*.f64 (+.f64 (/.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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.8%
(/.f64 (/.f64 (-.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)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 8 binary64))) (+.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 (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 (*.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)))))
▶7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (/.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 (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))))))
▶7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
7.8%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (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 (/.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 (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))))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (*.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 (/.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 (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))))))
7.7%
(/.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 (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 (/.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 (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))))))
7.7%
(/.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) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #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 (/.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 (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))))))
7.7%
(/.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 (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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (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))))))
7.8%
(/.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) (-.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 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
9.1%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 6 binary64))) #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 (/.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 (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))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (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) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
9.2%
(/.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
▶9.2%
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
9.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
9.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (PI.f64))))))
7.7%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
7.8%
(-.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)))))))
✓7.8%
(-.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)))))
▶9.2%
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
▶7.8%
(*.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 #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)))))
1.5%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 5180 to 2184 computations (57.8% saved)

simplify781.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -3 binary64))
✓cost-diff0
(-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 6 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (/.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 (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))))))
✓cost-diff64
(pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓cost-diff64
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 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-diff128
(*.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-diff40640
(*.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 #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)))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
✓cost-diff0
(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))
✓cost-diff0
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓cost-diff0
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓cost-diff0
(*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
✓cost-diff0
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓cost-diff128
(-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff6720
(+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
✓cost-diff6720
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓cost-diff6848
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
Rules
12666×accelerator-lowering-fma.f32
12666×accelerator-lowering-fma.f64
4722×*-lowering-*.f32
4722×*-lowering-*.f64
2876×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681006
1167956
2527866
32221866
46915866
08480836
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
(PI)
2
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
3
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)
(* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (* (PI) -1/2))
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)
(acos (sqrt (- 1/2 (* 1/2 x))))
(sqrt (- 1/2 (* 1/2 x)))
(- 1/2 (* 1/2 x))
1/2
(* 1/2 x)
x
2
(* (PI) -1/2)
(PI)
-1/2
(/ (- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4)) (- (* (asin (sqrt (+ 1/2 (/ x -2)))) -2) (/ (PI) 2)))
(- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2)
(* 2 (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
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(- (* (asin (sqrt (+ 1/2 (/ x -2)))) -2) (/ (PI) 2))
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(/ (PI) 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))))) (/ 1 (+ (/ (* (PI) (PI)) 4) (pow (* -2 (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)) 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)
(/ 1 (+ (/ (* (PI) (PI)) 4) (pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
1
(/ (- (pow (/ 4 (* (PI) (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(- (pow (/ 4 (* (PI) (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))
(pow (/ 4 (* (PI) (PI))) -3)
(/ 4 (* (PI) (PI)))
4
(* (PI) (PI))
(PI)
-3
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)
(* 2 (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
6
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
(+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2))))))
(/ (PI) 2)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)
(pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)
(* (PI) (asin (sqrt (+ 1/2 (/ x -2)))))
Outputs
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (*.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 (PI.f64) #s(literal -2 binary64)))))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(- (/ (PI) 2) (PI))
(-.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)
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (*.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 (PI.f64) #s(literal -2 binary64))))))
(+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(*.f64 #s(literal 2 binary64) (*.f64 (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 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(* (- (/ (PI) 2) (PI)) (neg (* (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))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (* (PI) -1/2))
(+.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 -2 binary64)))
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(sqrt (- 1/2 (* 1/2 x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(- 1/2 (* 1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
2
#s(literal 2 binary64)
(* (PI) -1/2)
(/.f64 (PI.f64) #s(literal -2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(/ (- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4)) (- (* (asin (sqrt (+ 1/2 (/ x -2)))) -2) (/ (PI) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (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))))
(- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -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 (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))))))
2
#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)
(/ (* (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)
(- (* (asin (sqrt (+ 1/2 (/ x -2)))) -2) (/ (PI) 2))
(+.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)))
(* (asin (sqrt (+ 1/2 (/ x -2)))) -2)
(*.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)) 4) (pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))) (/ 1 (+ (/ (* (PI) (PI)) 4) (pow (* -2 (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)))))))
(* (+ (/ (* (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 (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) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))
(+ (/ (* (PI) (PI)) 4) (pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))
(/ 1 (+ (/ (* (PI) (PI)) 4) (pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(/ (- (pow (/ 4 (* (PI) (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (/ 4 (* (PI) (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))
(-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 6 binary64)))
(pow (/ 4 (* (PI) (PI))) -3)
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -3 binary64))
(/ 4 (* (PI) (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))
4
#s(literal 4 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
-3
#s(literal -3 binary64)
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -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 (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))))))
2
#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)
6
#s(literal 6 binary64)
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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)))))
(+ (/ (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))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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))))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(*.f64 (PI.f64) (/.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 (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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))
(pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2)))))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))

localize1.2s (0.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(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 4 binary64))
✓accuracy97.5%
(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))
✓accuracy9.4%
(-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 6 binary64)))
✓accuracy99.5%
(*.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 #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)))))
✓accuracy99.3%
(*.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))))))
✓accuracy98.5%
(asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy9.2%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(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))
✓accuracy99.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
✓accuracy98.5%
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
✓accuracy9.2%
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓accuracy100.0%
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓accuracy9.3%
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓accuracy98.5%
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓accuracy98.5%
(pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
✓accuracy9.4%
(-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
Results
457.0ms85×2valid
404.0ms163×1valid
7.0ms8×0valid
Compiler

Compiled 1009 to 69 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 686.0ms
ival-pow: 197.0ms (28.7% of total)
ival-sub: 97.0ms (14.1% of total)
ival-asin: 76.0ms (11.1% of total)
ival-mult: 66.0ms (9.6% of total)
ival-acos: 65.0ms (9.5% of total)
backward-pass: 63.0ms (9.2% of total)
ival-pi: 39.0ms (5.7% of total)
ival-div: 38.0ms (5.5% of total)
ival-add: 27.0ms (3.9% of total)
ival-sqrt: 11.0ms (1.6% of total)
const: 3.0ms (0.4% of total)
ival-neg: 3.0ms (0.4% of total)

series55.0ms (0%)

Counts
29 → 288
Calls
Call 1
Inputs
#<alt (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))>
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Outputs
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#<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))))))))>
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#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))>
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#<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)))>
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#<alt (- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
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#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))>
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#<alt (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<alt (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))>
#<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 (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)))>
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#<alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))>
#<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 (* 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))>
#<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))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
5.0ms
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))))) (/ 1 (+ (/ (* (PI) (PI)) 4) (pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))))
3.0ms
x
@0
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
3.0ms
x
@inf
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
1.0ms
x
@inf
(/ (- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4)) (- (* (asin (sqrt (+ 1/2 (/ x -2)))) -2) (/ (PI) 2)))

rewrite517.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
5490×accelerator-lowering-fma.f32
5490×accelerator-lowering-fma.f64
3916×*-lowering-*.f32
3916×*-lowering-*.f64
1876×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068516
1500452
24721446
08428394
Stop Event
1×iter limit
1×node limit
Counts
29 → 1073
Calls
Call 1
Inputs
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(+ (* (acos (sqrt (- 1/2 (* 1/2 x)))) 2) (* (PI) -1/2))
(* (acos (sqrt (- 1/2 (* 1/2 x)))) 2)
(acos (sqrt (- 1/2 (* 1/2 x))))
(sqrt (- 1/2 (* 1/2 x)))
(/ (- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4)) (- (* (asin (sqrt (+ 1/2 (/ x -2)))) -2) (/ (PI) 2)))
(- (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 2) (/ (* (PI) (PI)) 4))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 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))))) (/ 1 (+ (/ (* (PI) (PI)) 4) (pow (* -2 (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)) 4) (pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(pow (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(/ (- (pow (/ 4 (* (PI) (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(- (pow (/ 4 (* (PI) (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))
(pow (/ 4 (* (PI) (PI))) -3)
(/ 4 (* (PI) (PI)))
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(PI)
(asin (sqrt (+ 1/2 (/ x -2))))
(+ (/ (PI) 2) (* -2 (asin (pow (+ 1/2 (/ x -2)) 1/2))))
(asin (pow (+ 1/2 (/ x -2)) 1/2))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)
(* (* (PI) (PI)) (* (PI) (PI)))
Outputs
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #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) #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)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #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) #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))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #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) #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)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #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) #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)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (pow.f64 (*.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) #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)))))) #s(literal 3 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 (*.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) #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)))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))))
(neg.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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))))))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))))
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(*.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal 64 binary64))
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(*.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)))
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(*.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 #s(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)) #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)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64))))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 12 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 10/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 7/2 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/2 binary64)) (sqrt.f64 (PI.f64)))

simplify766.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
24682×accelerator-lowering-fma.f32
24682×accelerator-lowering-fma.f64
5754×*-lowering-*.f32
5754×*-lowering-*.f64
4256×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925662
15365646
213545398
342445385
087804733
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(acos (sqrt (+ 1/2 (* -1/2 x))))
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(sqrt 1/2)
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(* (sqrt x) (sqrt -1/2))
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(+ (* 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)))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(/ (- (* 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))))))))
(- (* 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)))
(- (* 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)))
(- (* 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)))
(- (* 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)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(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))))
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(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
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(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
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(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
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(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))))
(* 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))
(* 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))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
(* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6))
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(* 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))
(* 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))
Outputs
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* -2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))) (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2))))
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(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(* 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)))
(* 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)))

eval453.0ms (0.4%)

Compiler

Compiled 156527 to 6381 computations (95.9% saved)

prune478.0ms (0.4%)

Pruning

63 alts after pruning (58 fresh and 5 done)

PrunedKeptTotal
New2390292419
Fresh102939
Picked235
Done022
Total2402632465
Accuracy
11.6%
Counts
2465 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
▶7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 (*.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) #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)))))) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (/.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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.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)))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (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 (PI.f64) (*.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) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (/.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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (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 (PI.f64) (*.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)))))))
7.7%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
7.8%
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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)))))))))
7.7%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.7%
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.8%
(/.f64 (fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (-.f64 (*.f64 (asin.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))))
7.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.8%
(/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))) (*.f64 (+.f64 (/.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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.7%
(/.f64 (fma.f64 (PI.f64) (neg.f64 (/.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 (asin.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))))
7.8%
(/.f64 (/.f64 (-.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)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 8 binary64))) (+.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 (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 (*.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)))))
7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #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 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 (/.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 (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))))))
7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
✓7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (/.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 (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))))))
▶7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #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 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 (/.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 (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))))))
7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
9.1%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
✓7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
7.8%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
▶7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.7%
(/.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 (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 (/.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 (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))))))
7.7%
(/.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) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #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 (/.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 (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))))))
7.8%
(/.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) (-.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 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
9.2%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (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) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
▶9.2%
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
9.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
9.2%
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (+.f64 (-.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))))))) (+.f64 (+.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))) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 6 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))))))
9.2%
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
7.8%
(-.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)))))))
✓7.8%
(-.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)))))
3.8%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓9.2%
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
▶5.3%
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
4.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(*.f64 (*.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 4 binary64)) (/.f64 (*.f64 (PI.f64) (*.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 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (pow.f64 (*.f64 #s(literal 2 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) (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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #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 #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)))))
7.8%
(*.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 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (pow.f64 (*.f64 #s(literal 2 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) (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))))))))
4.4%
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (asin.f64 (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 #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)))))
7.8%
(*.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 #s(literal -1/2 binary64) x)))))) (+.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 #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)))))
1.5%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 7382 to 2897 computations (60.8% saved)

simplify15.6s (12.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
✓cost-diff128
(pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -3 binary64))
✓cost-diff128
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #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 6 binary64)))
✓cost-diff128
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #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 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 (/.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 (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))))))
✓cost-diff256
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff6848
(+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
✓cost-diff6848
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓cost-diff7104
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
✓cost-diff128
(neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓cost-diff128
(+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
✓cost-diff256
(-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
✓cost-diff13120
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓cost-diff128
(-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff192
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))
✓cost-diff6720
(-.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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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)))))
✓cost-diff6848
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
Rules
13556×accelerator-lowering-fma.f32
13556×accelerator-lowering-fma.f64
4384×*-lowering-*.f32
4384×*-lowering-*.f64
3484×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0781124
11911051
25781024
323321016
473071016
08155994
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
(PI)
2
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
3
(- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
(* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(* (- (/ (PI) 2) (PI)) 2)
(+ (* (acos (sqrt 1/2)) 2) (* (PI) -1/2))
(* (acos (sqrt 1/2)) 2)
(acos (sqrt 1/2))
(sqrt 1/2)
1/2
2
(* (PI) -1/2)
(PI)
-1/2
(+ (* (pow (PI) 1/8) (* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))) (- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(pow (PI) 1/8)
(PI)
1/8
(* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))
(/ (pow (PI) 3/4) 2)
(pow (PI) 3/4)
3/4
2
(- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
0
(+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
(/ (- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2)))
(* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))))
(- (/ (* (PI) (PI)) 4) (* (PI) (PI)))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(- (/ (PI) 2) (PI))
(/ (PI) 2)
2
(+ (PI) (/ (PI) 2))
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(pow (+ 1/2 (/ x -2)) 1/2)
(+ 1/2 (/ x -2))
1/2
(/ x -2)
x
-2
3
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2)
(* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(/ (- (pow (* (/ 4 (PI)) (/ 1 (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(- (pow (* (/ 4 (PI)) (/ 1 (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))
(pow (* (/ 4 (PI)) (/ 1 (PI))) -3)
(* (/ 4 (PI)) (/ 1 (PI)))
(/ 4 (PI))
4
(PI)
(/ 1 (PI))
1
-3
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)
(* 2 (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
6
(* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2))))
(+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2))))))
(/ (PI) 2)
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
16
(+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4)
(pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)
(* (PI) (asin (sqrt (+ 1/2 (/ x -2)))))
Outputs
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
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(- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 #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) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
(*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(- (/ (PI) 2) (PI))
(-.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)
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
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(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2))
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(pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)
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(* 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))))))
(* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))))
(* (- (/ (PI) 2) (PI)) 2)
(-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64)))
(+ (* (acos (sqrt 1/2)) 2) (* (PI) -1/2))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.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)
2
#s(literal 2 binary64)
(* (PI) -1/2)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(+ (* (pow (PI) 1/8) (* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))) (- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (PI.f64)))
(pow (PI) 1/8)
(pow.f64 (PI.f64) #s(literal 1/8 binary64))
(PI)
(PI.f64)
1/8
#s(literal 1/8 binary64)
(* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(/ (pow (PI) 3/4) 2)
(/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow (PI) 3/4)
(pow.f64 (PI.f64) #s(literal 3/4 binary64))
3/4
#s(literal 3/4 binary64)
2
#s(literal 2 binary64)
(- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) (PI.f64))
0
#s(literal 0 binary64)
(+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)
(*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(acos (pow (+ 1/2 (/ x -2)) 1/2))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))
(pow (+ 1/2 (/ x -2)) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))
(+ 1/2 (/ x -2))
(+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64))))))
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(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))
(/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2)))
(*.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
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#s(literal 4 binary64)
(* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))
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#s(literal 2 binary64)
(+ (PI) (/ (PI) 2))
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#s(literal 3 binary64)
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(/.f64 (PI.f64) #s(literal 2 binary64))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (PI.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)
(/.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))
16
#s(literal 16 binary64)
(+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -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))
(pow (* (PI) (asin (sqrt (+ 1/2 (/ x -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 (sqrt (+ 1/2 (/ x -2)))))
(*.f64 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))

localize1.4min (68.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.9%
(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))
✓accuracy99.7%
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #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 6 binary64)))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.6%
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
✓accuracy99.5%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy6.2%
(PI.f64)
✓accuracy100.0%
(pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
✓accuracy99.6%
(-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓accuracy6.2%
(PI.f64)
Results
1.4min248×5exit
27.0ms8×2valid
Compiler

Compiled 1184 to 78 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.4min
ival-acos: 50.3s (60.8% of total)
ival-pow: 14.4s (17.4% of total)
backward-pass: 12.0s (14.5% of total)
ival-div: 5.4s (6.6% of total)
ival-mult: 257.0ms (0.3% of total)
ival-asin: 101.0ms (0.1% of total)
ival-add: 86.0ms (0.1% of total)
ival-sub: 73.0ms (0.1% of total)
ival-sqrt: 35.0ms (0% of total)
compiled-spec: 35.0ms (0% of total)
ival-pi: 11.0ms (0% of total)
ival-neg: 8.0ms (0% of total)
const: 7.0ms (0% of total)

series101.0ms (0.1%)

Counts
28 → 192
Calls
Call 1
Inputs
#<alt (/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))))>
#<alt (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2))))>
#<alt (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))>
#<alt (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))>
#<alt (+ (* (acos (sqrt 1/2)) 2) (* (PI) -1/2))>
#<alt (* (acos (sqrt 1/2)) 2)>
#<alt (acos (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (+ (* (pow (PI) 1/8) (* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))) (- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))>
#<alt (- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))>
#<alt (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))>
#<alt (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))>
#<alt (/ (- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))>
#<alt (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))>
#<alt (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))>
#<alt (- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))>
#<alt (/ (- (pow (* (/ 4 (PI)) (/ 1 (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))>
#<alt (- (pow (* (/ 4 (PI)) (/ 1 (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))>
#<alt (pow (* (/ 4 (PI)) (/ 1 (PI))) -3)>
#<alt (* (/ 4 (PI)) (/ 1 (PI)))>
#<alt (PI)>
#<alt (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))>
#<alt (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)>
#<alt (* (PI) -1/2)>
#<alt (* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))>
#<alt (- (/ (* (PI) (PI)) 4) (* (PI) (PI)))>
#<alt (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)>
#<alt (* (* (PI) (PI)) (* (PI) (PI)))>
Outputs
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3)))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (+ (* 1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
#<alt (- (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (PI))>
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Calls

48 calls:

TimeVariablePointExpression
62.0ms
x
@0
(+ (* (pow (PI) 1/8) (* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))) (- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
2.0ms
x
@0
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1.0ms
x
@0
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
1.0ms
x
@0
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
1.0ms
x
@inf
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))))

rewrite583.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
5856×accelerator-lowering-fma.f32
5856×accelerator-lowering-fma.f64
4278×*-lowering-*.f32
4278×*-lowering-*.f64
2142×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078489
1560464
25612458
08177410
Stop Event
1×iter limit
1×node limit
Counts
28 → 1010
Calls
Call 1
Inputs
(/ (- (* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 2) (PI)) 2) (acos (pow (+ 1/2 (/ x -2)) 1/2)))))
(- (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (pow (* 2 (acos (pow (+ 1/2 (/ x -2)) 1/2))) 2)) (* (* (- (/ (PI) 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) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(+ (* (acos (sqrt 1/2)) 2) (* (PI) -1/2))
(* (acos (sqrt 1/2)) 2)
(acos (sqrt 1/2))
(sqrt 1/2)
(+ (* (pow (PI) 1/8) (* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))) (- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(- 0 (+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(+ (PI) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))
(neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))
(/ (- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)) (+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))))
(+ (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)))))
(+ (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 2) (* (- (/ (PI) 2) (PI)) (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2))))
(- (/ (* (- (/ (* (PI) (PI)) 4) (* (PI) (PI))) (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI)))) (+ (PI) (/ (PI) 2))) (pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3))
(/ (- (pow (* (/ 4 (PI)) (/ 1 (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)) (* (+ (/ (PI) 2) (* 2 (asin (sqrt (+ 1/2 (/ x -2)))))) (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (+ (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 4) (pow (* (PI) (asin (sqrt (+ 1/2 (/ x -2))))) 2)))))
(- (pow (* (/ 4 (PI)) (/ 1 (PI))) -3) (pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6))
(pow (* (/ 4 (PI)) (/ 1 (PI))) -3)
(* (/ 4 (PI)) (/ 1 (PI)))
(PI)
(* (* (- (/ (PI) 2) (PI)) (- (/ (PI) 2) (PI))) (- (/ (PI) 2) (PI)))
(pow (neg (* (acos (pow (+ 1/2 (/ x -2)) 1/2)) 2)) 3)
(* (PI) -1/2)
(* (pow (PI) 1/8) (/ (pow (PI) 3/4) 2))
(- (/ (* (PI) (PI)) 4) (* (PI) (PI)))
(pow (* 2 (asin (sqrt (+ 1/2 (/ x -2))))) 6)
(* (* (PI) (PI)) (* (PI) (PI)))
Outputs
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (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)) (PI.f64))))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
(fma.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
(fma.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
(fma.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
(fma.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
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(pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))))) #s(literal -1 binary64))
(*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))
(*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))))))
(*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64)))))
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(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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simplify624.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
18266×accelerator-lowering-fma.f32
18266×accelerator-lowering-fma.f64
4568×*-lowering-*.f32
4568×*-lowering-*.f64
2130×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01074896
13024800
25964416
319544140
469684140
084353588
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(/ (- (pow (- (* 1/2 (PI)) (PI)) 3) (* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))) (- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI))))))
(- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))
(- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))
(- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))
(- (+ (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (+ 1/2 (* -1/2 x)))) (- (* 1/2 (PI)) (PI)))))
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(- (+ (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)) (pow (- (* 1/2 (PI)) (PI)) 2)) (* 2 (* (acos (sqrt (- 1/2 (* 1/2 x)))) (- (* 1/2 (PI)) (PI)))))
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Outputs
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(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(- (* 1/64 (pow (PI) 6)) (* 64 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 6)))
(+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64)) #s(literal -64 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(* -8 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 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)))

eval620.0ms (0.5%)

Compiler

Compiled 204814 to 8230 computations (96% saved)

prune562.0ms (0.5%)

Pruning

68 alts after pruning (61 fresh and 7 done)

PrunedKeptTotal
New2633202653
Fresh124153
Picked325
Done055
Total2648682716
Accuracy
11.6%
Counts
2716 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.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)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
4.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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))))))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
4.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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))))))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (PI.f64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 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))))))
7.8%
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (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)) (PI.f64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
7.7%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
7.6%
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
7.8%
(fma.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.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)) (PI.f64)))))))
7.7%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.8%
(fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.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)))))) (neg.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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.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)))))))
7.7%
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.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)))))
4.1%
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) (-.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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
7.8%
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
7.8%
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
7.8%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
7.8%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (neg.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
7.7%
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (-.f64 (*.f64 (asin.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))))
7.8%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.8%
(/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 6 binary64)))) (*.f64 (+.f64 (/.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)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
7.7%
(/.f64 (fma.f64 (PI.f64) (neg.f64 (/.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 (asin.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))))
7.8%
(/.f64 (/.f64 (-.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)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 8 binary64))) (+.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 (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 (*.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)))))
7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) #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 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 (/.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 (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))))))
7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
✓7.7%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #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 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 (/.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 (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))))))
7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #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 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 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64)) #s(literal 16 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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))))
✓7.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) #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 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 (/.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 (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))))))
7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
9.1%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
✓7.7%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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))))
7.8%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) #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 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
7.7%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
7.8%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
7.7%
(/.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 (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 (/.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 (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))))))
7.7%
(/.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) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #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 (/.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 (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))))))
9.2%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
7.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (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) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
9.2%
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
7.7%
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
9.2%
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
9.2%
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
7.7%
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
7.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
7.8%
(-.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)))))))
✓7.8%
(-.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)))))
3.8%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓9.2%
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓5.3%
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
4.4%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(*.f64 (*.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 4 binary64)) (/.f64 (*.f64 (PI.f64) (*.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 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (pow.f64 (*.f64 #s(literal 2 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) (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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
7.8%
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) #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 #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)))))
7.8%
(*.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 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 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 (pow.f64 (*.f64 #s(literal 2 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) (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))))))))
4.4%
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (asin.f64 (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 #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)))))
7.8%
(*.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 #s(literal -1/2 binary64) x)))))) (+.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 #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)))))
1.5%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 10775 to 2198 computations (79.6% saved)

regimes320.0ms (0.3%)

Counts
110 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 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 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (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 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (PI.f64) (neg.f64 (/.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 (asin.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 (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.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 (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))))))))))
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(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (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 (PI.f64) (*.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) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (/.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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (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 (PI.f64) (*.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)))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.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 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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 (/.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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(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) (*.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64))))))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.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 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
Calls

7 calls:

55.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
55.0ms
x
31.0ms
(-.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
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
26.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.2%1x
9.2%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))))))
9.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.2%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes107.0ms (0.1%)

Counts
50 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 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 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (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 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (PI.f64) (neg.f64 (/.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 (asin.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 (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.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 (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))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(*.f64 (*.f64 (+.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 #s(literal -1/2 binary64) x)))))) (+.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 #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)))))
(/.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 (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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.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 #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)))))
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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))))))
Calls

7 calls:

18.0ms
x
14.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
13.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
13.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
13.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.2%1(-.f64 #s(literal 1 binary64) x)
9.2%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))))))
9.2%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes104.0ms (0.1%)

Counts
48 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 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 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (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 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (PI.f64) (neg.f64 (/.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 (asin.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 (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.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 (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))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.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)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))))
(*.f64 (*.f64 (+.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 #s(literal -1/2 binary64) x)))))) (+.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 #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)))))
(/.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 (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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.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 #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)))))
(/.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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.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 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
Calls

7 calls:

17.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
16.0ms
x
13.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
13.0ms
(-.f64 #s(literal 1 binary64) x)
13.0ms
(-.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
9.2%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))))))
9.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.2%1(-.f64 #s(literal 1 binary64) x)
9.2%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes89.0ms (0.1%)

Counts
35 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 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 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (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 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) (*.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 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (PI.f64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 7/8 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 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 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (PI.f64) (neg.f64 (/.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 (asin.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 (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (/.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 (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))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 (sqrt.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)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 (asin.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 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (asin.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (-.f64 (*.f64 (asin.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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64)))))))))
Outputs
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
Calls

7 calls:

21.0ms
x
13.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
11.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.2%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))))))
9.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
9.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
9.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
9.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
9.2%1(-.f64 #s(literal 1 binary64) x)
9.2%1x
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes2.0ms (0%)

Accuracy

Total -1.4b remaining (-2.4%)

Threshold costs -1.4b (-2.4%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify53.0ms (0%)

Algorithm
1×egg-herbie
Rules
434×unsub-neg_binary64
300×neg-mul-1_binary64
274×distribute-lft-neg-in_binary64
192×cancel-sign-sub_binary64
164×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059203
1108202
2153202
3181202
4211202
5260202
6361202
7549202
8863202
91050202
101127202
111191202
121248202
131298202
141329202
151353202
161362202
171367202
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (neg.f64 (*.f64 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.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 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (+.f64 (pow.f64 (*.f64 (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) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 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 #s(literal 2 binary64) (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (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 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 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 #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 (acos.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4 binary64))))))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64)))))

soundness3.9s (3.2%)

Rules
24682×accelerator-lowering-fma.f32
24682×accelerator-lowering-fma.f64
20348×accelerator-lowering-fma.f32
20348×accelerator-lowering-fma.f64
18266×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925662
15365646
213545398
342445385
087804733
0762760
12192760
24632760
313342736
432872736
562602736
082862388
01139
18139
261839
3725639
0819934
01074896
13024800
25964416
319544140
469684140
084353588
068516
1500452
24721446
08428394
056292
1385246
23921246
08174221
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
Compiler

Compiled 228 to 84 computations (63.2% saved)

preprocess60.0ms (0%)

Compiler

Compiled 444 to 148 computations (66.7% saved)

end0.0ms (0%)

Profiling

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