Ian Simplification

Time bar (total: 2.2min)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
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 13 computations (13.3% saved)

sample3.7s (2.7%)

Memory
20.2MiB live, 3 951.9MiB allocated
Samples
1.8s3 169×2valid
1.2s4 817×1valid
30.0ms6×0invalid
21.0ms270×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-asin: 1.3s (49.1% of total)
adjust: 310.0ms (11.5% of total)
ival-mult: 295.0ms (11% of total)
ival-div: 277.0ms (10.3% of total)
ival-sub: 229.0ms (8.5% of total)
ival-sqrt: 151.0ms (5.6% of total)
ival-pi: 88.0ms (3.3% of total)
exact: 9.0ms (0.3% of total)
ival-true: 6.0ms (0.2% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain282.0ms (0.2%)

Memory
51.8MiB live, 552.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.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-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (/.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-(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
00-0-x
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))cancellation2551
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-010
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
105.0ms204×2valid
77.0ms296×1valid
1.0ms12×0valid
Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-asin: 77.0ms (51.2% of total)
ival-div: 18.0ms (12% of total)
adjust: 16.0ms (10.6% of total)
ival-sub: 12.0ms (8% of total)
ival-sqrt: 9.0ms (6% of total)
ival-mult: 9.0ms (6% of total)
ival-pi: 7.0ms (4.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess51.0ms (0%)

Memory
-42.5MiB live, 83.7MiB allocated
Algorithm
1×egg-herbie
Rules
212×lower-fma.f64
212×lower-fma.f32
136×lower-*.f32
134×lower-*.f64
96×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13327
27226
316026
426126
536726
643326
748526
849526
01113
01913
13413
24813
36713
49613
513213
619113
725313
830813
934813
1036613
036611
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.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))))))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

eval2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.5%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify13.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff128
(-.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))))))
cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff512
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
Rules
212×lower-fma.f64
212×lower-fma.f32
136×lower-*.f32
134×lower-*.f64
96×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
01950
13450
24850
36750
49650
513250
619150
725350
830850
934850
1036650
036644
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.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 (PI.f64) #s(literal 2 binary64))
(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)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.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 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize99.0ms (0.1%)

Memory
21.2MiB live, 219.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(PI.f64)
accuracy0.00390625
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
accuracy0.984375
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
accuracy59.39100237717472
(-.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))))))
Samples
50.0ms102×2valid
37.0ms148×1valid
1.0ms6×0valid
Compiler

Compiled 52 to 13 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-asin: 36.0ms (50.2% of total)
adjust: 10.0ms (13.9% of total)
ival-div: 8.0ms (11.2% of total)
ival-sqrt: 6.0ms (8.4% of total)
ival-sub: 5.0ms (7% of total)
ival-mult: 4.0ms (5.6% of total)
ival-pi: 3.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0%)

Memory
-21.0MiB live, 18.1MiB allocated
Counts
6 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 2 binary64)) (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor 0 x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor 0 x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt 1/2) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2)))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2)))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2)))))))) (taylor 0 x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ 1 x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x)))))) (taylor inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (- 1 x)))) (taylor inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (* (sqrt -1) (sqrt 1/2))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))))) (taylor -inf x) (#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((/ (- 1 x) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (PI) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)))
2.0ms
x
@inf
((/ (- 1 x) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (PI) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)))
2.0ms
x
@-inf
((/ (- 1 x) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (PI) (asin (sqrt (/ (- 1 x) 2))) (sqrt (/ (- 1 x) 2)))

simplify215.0ms (0.2%)

Memory
19.9MiB live, 329.8MiB allocated
Algorithm
1×egg-herbie
Rules
29 870×lower-fma.f64
29 870×lower-fma.f32
6 854×lower-*.f64
6 854×lower-*.f32
2 358×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102644
1288613
2881597
32690580
46167580
08473543
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 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))))))
(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))))
(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))))))))
(* -1/2 x)
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(- (* 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))))))
(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))))
(* (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)))))))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 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)))))))
(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)))))
(* -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
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal -1/2 binary64)))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal -1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.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 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* 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 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

rewrite227.0ms (0.2%)

Memory
3.5MiB live, 359.9MiB allocated
Rules
7 926×lower-fma.f64
7 926×lower-fma.f32
4 770×lower-*.f32
4 768×lower-*.f64
2 994×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01935
18935
262635
3726835
0821130
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 423
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(PI.f64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1/2 binary64))
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eval259.0ms (0.2%)

Memory
-2.6MiB live, 155.8MiB allocated
Compiler

Compiled 11 654 to 1 867 computations (84% saved)

prune37.0ms (0%)

Memory
8.7MiB live, 88.8MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New45318471
Fresh000
Picked101
Done000
Total45418472
Accuracy
8.8%
Counts
472 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.5%
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.5%
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
▶5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
▶5.5%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
▶5.5%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
▶5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
5.5%
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
5.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))))
5.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
5.5%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.6%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
5.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 9 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64)))))
▶7.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
5.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
5.5%
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
Compiler

Compiled 2 488 to 794 computations (68.1% saved)

simplify152.0ms (0.1%)

Memory
-10.2MiB live, 189.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))))
cost-diff128
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
cost-diff128
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff128
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
cost-diff128
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
cost-diff0
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff0
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff0
(PI.f64)
cost-diff192
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff448
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
Rules
9 106×lower-fma.f32
9 088×lower-fma.f64
5 558×lower-*.f32
5 540×lower-*.f64
1 952×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049878
097878
1195872
2502865
31652865
44858863
08245859
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(literal 4 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 8 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
Outputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -4 binary64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(literal 4 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(fma.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 8 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))

localize466.0ms (0.3%)

Memory
32.2MiB live, 539.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0036125488422103
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
accuracy1.58496250072115
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))
accuracy60.36104169418633
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
accuracy0.984375
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy1.0036125488422103
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
accuracy60.33104363353302
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
accuracy0.0234375
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy0.0234375
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy59.38503664461229
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
accuracy0
(PI.f64)
accuracy0.00390625
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy59.39100237717472
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0.00390625
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
accuracy0.00390625
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0.015625
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy59.39100237717472
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
Samples
188.0ms102×2valid
148.0ms148×1valid
21.0ms6×0valid
Compiler

Compiled 1 003 to 60 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-mult: 67.0ms (25% of total)
ival-asin: 37.0ms (13.8% of total)
adjust: 36.0ms (13.4% of total)
ival-acos: 31.0ms (11.6% of total)
ival-div: 22.0ms (8.2% of total)
ival-add: 22.0ms (8.2% of total)
ival-pow: 15.0ms (5.6% of total)
ival-pow2: 14.0ms (5.2% of total)
ival-neg: 8.0ms (3% of total)
ival-sub: 7.0ms (2.6% of total)
ival-sqrt: 5.0ms (1.9% of total)
ival-pi: 3.0ms (1.1% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series176.0ms (0.1%)

Memory
-47.3MiB live, 90.1MiB allocated
Counts
26 → 228
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 2 binary64)) (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation binary64>) () ())
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#s(alt (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (patch (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) (patch (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) (patch (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) (patch (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) #<representation binary64>) () ())
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (patch (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (taylor 0 x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (taylor 0 x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (patch (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
50.0ms
x
@0
((* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) (/ (PI) 2) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (PI) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (* 1/4 (* (PI) (PI))) (* (PI) (PI)) (+ (* (/ (* 1/8 (pow (PI) 3)) (- (pow (* 1/2 (PI)) 4) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))) 2))) (- (* 1/4 (* (PI) (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (/ (* 1/8 (pow (PI) 3)) (- (pow (* 1/2 (PI)) 4) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))) 2))) (* 1/8 (pow (PI) 3)) (acos (sqrt (+ (* x -1/2) 1/2))) (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (* 1/4 (* (PI) (PI))) (/ (* 1/2 (PI)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))) (pow (* 1/2 (PI)) 4) (pow (PI) 3))
19.0ms
x
@inf
((* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) (/ (PI) 2) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (PI) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (* 1/4 (* (PI) (PI))) (* (PI) (PI)) (+ (* (/ (* 1/8 (pow (PI) 3)) (- (pow (* 1/2 (PI)) 4) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))) 2))) (- (* 1/4 (* (PI) (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (/ (* 1/8 (pow (PI) 3)) (- (pow (* 1/2 (PI)) 4) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))) 2))) (* 1/8 (pow (PI) 3)) (acos (sqrt (+ (* x -1/2) 1/2))) (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (* 1/4 (* (PI) (PI))) (/ (* 1/2 (PI)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))) (pow (* 1/2 (PI)) 4) (pow (PI) 3))
13.0ms
x
@-inf
((* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2)))))) (/ (PI) 2) (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (PI) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (* 1/4 (* (PI) (PI))) (* (PI) (PI)) (+ (* (/ (* 1/8 (pow (PI) 3)) (- (pow (* 1/2 (PI)) 4) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))) 2))) (- (* 1/4 (* (PI) (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (/ (* 1/8 (pow (PI) 3)) (- (pow (* 1/2 (PI)) 4) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))) 2))) (* 1/8 (pow (PI) 3)) (acos (sqrt (+ (* x -1/2) 1/2))) (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2) (+ (* (* 1/4 (* (PI) (PI))) (/ (* 1/2 (PI)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (neg (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))))) (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) (/ (* (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3) 8) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI))))) (pow (* 1/2 (PI)) 4) (pow (PI) 3))

simplify180.0ms (0.1%)

Memory
5.6MiB live, 160.2MiB allocated
Algorithm
1×egg-herbie
Rules
17 048×lower-fma.f64
17 048×lower-fma.f32
5 966×lower-*.f64
5 966×lower-*.f32
3 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01986074
15516058
213236050
338185965
081905220
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (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)))
(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))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(- (* 1/8 (/ (* (pow (PI) 3) (- (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (* (pow (PI) 3) (- (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (* (pow (PI) 3) (- (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (* (pow (PI) 3) (- (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(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))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
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(- (* 1/8 (/ (* (pow (PI) 3) (- (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (* (pow (PI) 3) (- (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(* 1/8 (/ (pow (PI) 3) (- (* 1/16 (pow (PI) 4)) (* (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (pow (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) 2)))))
(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))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
Outputs
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (PI.f64))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))

rewrite457.0ms (0.3%)

Memory
44.8MiB live, 673.0MiB allocated
Rules
4 984×lower-fma.f32
4 966×lower-fma.f64
4 114×lower-*.f32
4 096×lower-*.f64
3 566×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049456
097287
1443284
23797284
09378284
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 896
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
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(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -4 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (pow.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 #s(literal 8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 9 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))

eval1.9s (1.4%)

Memory
-10.5MiB live, 1 460.6MiB allocated
Compiler

Compiled 398 770 to 12 530 computations (96.9% saved)

prune201.0ms (0.1%)

Memory
-40.0MiB live, 405.2MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New5 720215 741
Fresh8513
Picked415
Done000
Total5 732275 759
Accuracy
8.9%
Counts
5 759 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
▶5.5%
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.5%
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
5.5%
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
▶5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
5.8%
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.8%
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.8%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
▶5.6%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
5.2%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) (PI.f64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
✓5.5%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.6%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
▶3.8%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
▶7.2%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
5.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 9 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64)))))
5.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Compiler

Compiled 2 813 to 1 286 computations (54.3% saved)

simplify160.0ms (0.1%)

Memory
11.5MiB live, 199.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff128
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
cost-diff7744
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
cost-diff0
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
cost-diff0
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
cost-diff0
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff0
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
cost-diff0
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
cost-diff0
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
cost-diff128
(neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Rules
14 264×lower-fma.f32
14 240×lower-fma.f64
4 678×lower-*.f32
4 658×lower-*.f64
2 004×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060942
0119919
1237917
2448915
31098911
43200911
56741911
08256909
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(literal 4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(literal -4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 4 binary64)
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
x
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
#s(literal -8 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 8 binary64)
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
Outputs
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
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(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 8 binary64)
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))

localize599.0ms (0.4%)

Memory
38.5MiB live, 895.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.97265625
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
accuracy60.33104363353302
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
accuracy0.984375
(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
accuracy1.0036125488422103
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
accuracy60.33104363353302
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
accuracy0.015625
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
accuracy0.0234375
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
accuracy60.41661689859269
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy0.00390625
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
accuracy0.82030287360375
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
accuracy0.984375
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
accuracy59.39100237717472
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0.0234375
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
accuracy0.0234375
(*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy59.38503664461229
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
Samples
261.0ms101×2valid
231.0ms149×1valid
3.0ms6×0valid
Compiler

Compiled 1 077 to 71 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 379.0ms
ival-mult: 99.0ms (26.1% of total)
ival-asin: 75.0ms (19.8% of total)
ival-add: 57.0ms (15% of total)
adjust: 38.0ms (10% of total)
ival-acos: 31.0ms (8.2% of total)
ival-div: 29.0ms (7.6% of total)
ival-neg: 13.0ms (3.4% of total)
ival-pow2: 12.0ms (3.2% of total)
ival-sqrt: 10.0ms (2.6% of total)
ival-pi: 9.0ms (2.4% of total)
ival-pow: 6.0ms (1.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0%)

Memory
-15.4MiB live, 99.0MiB allocated
Counts
27 → 276
Calls
Call 1
Inputs
#s(alt (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (patch (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (patch (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (patch (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
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#s(alt (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (patch (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (patch (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))) (patch (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))) #<representation binary64>) () ())
Outputs
#s(alt (* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (patch (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@0
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9.0ms
x
@inf
((neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (/ (* 1/2 (PI)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))) (* 1/2 (PI)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))))) (neg (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)))))) (* 1/4 (* (PI) (PI))) (* (PI) (PI)) (asin (sqrt (+ (* x -1/2) 1/2))) (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (/ (* 1/2 (PI)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))) (* (* (PI) (PI)) 1/4)) (/ (* -8 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (/ (* -8 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))) (+ (* (* 1/4 (* (PI) (PI))) (/ (* 1/2 (PI)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (neg (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))))))))
7.0ms
x
@-inf
((neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))))) (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI)))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* 1/2 (PI))) (asin (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (+ (* x -1/2) 1/2) (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (asin (sqrt (+ (* -1/2 x) 1/2))) (sqrt (+ (* -1/2 x) 1/2)) (/ (* 1/2 (PI)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))) (* 1/2 (PI)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))))) (neg (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)))))) (* 1/4 (* (PI) (PI))) (* (PI) (PI)) (asin (sqrt (+ (* x -1/2) 1/2))) (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI)))) (+ (* (/ (* 1/2 (PI)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))) (* (* (PI) (PI)) 1/4)) (/ (* -8 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)))) (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3) (/ (* -8 (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 3)) (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))) (+ (* (* 1/4 (* (PI) (PI))) (/ (* 1/2 (PI)) (+ (* (* 1/4 (PI)) (PI)) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (neg (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))))))))

simplify243.0ms (0.2%)

Memory
26.3MiB live, 292.6MiB allocated
Algorithm
1×egg-herbie
Rules
22 158×lower-fma.f64
22 158×lower-fma.f32
5 910×lower-*.f64
5 910×lower-*.f32
2 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01857368
14917336
211667320
332277282
473547282
081426365
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* -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))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/2 (/ (PI) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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))))
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(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
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(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
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(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
Outputs
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(* -4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 1/4 (/ (PI) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x (sqrt.f64 #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)))
(+ (* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
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(+ (* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
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(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
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(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))

rewrite315.0ms (0.2%)

Memory
24.9MiB live, 451.2MiB allocated
Rules
6 780×lower-fma.f32
6 756×lower-fma.f64
4 430×lower-*.f32
4 410×lower-*.f64
3 162×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060550
0119530
1526481
23653409
08673407
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 084
Calls
Call 1
Inputs
(neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(PI.f64)
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(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (PI.f64))
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -4 binary64))) (neg.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -4 binary64)) (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/4 binary64))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (neg.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
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(-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 0 binary64)) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) #s(literal 64 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
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(+.f64 (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))

eval960.0ms (0.7%)

Memory
52.8MiB live, 1 637.6MiB allocated
Compiler

Compiled 278 104 to 11 347 computations (95.9% saved)

prune216.0ms (0.2%)

Memory
-6.8MiB live, 430.8MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New4 166134 179
Fresh101121
Picked145
Done011
Total4 177294 206
Accuracy
9.0%
Counts
4 206 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.6%
(fma.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.8%
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓5.5%
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.5%
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
5.5%
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
✓5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.2%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
5.8%
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.6%
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
▶5.5%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
✓5.6%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
✓5.5%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
✓3.8%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
5.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
▶5.5%
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 9 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64)))))
▶5.8%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
▶7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
5.6%
#s(approx (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
▶5.8%
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
Compiler

Compiled 2 661 to 1 243 computations (53.3% saved)

simplify158.0ms (0.1%)

Memory
-13.2MiB live, 179.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff128
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
cost-diff7744
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
cost-diff0
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
cost-diff128
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
cost-diff7744
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
cost-diff0
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(PI.f64)
cost-diff128
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
cost-diff384
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
cost-diff0
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Rules
12 252×lower-fma.f32
12 228×lower-fma.f64
5 234×lower-*.f32
5 200×lower-*.f64
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001013
01751004
1338944
2664939
31838938
44796935
08275930
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(PI.f64)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 1/4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
#s(literal -2 binary64)
(*.f64 #s(literal -1/2 binary64) (PI.f64))
#s(literal 4 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
#s(literal 8 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
#s(literal 4 binary64)
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 8 binary64)
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(PI.f64)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 1/4 binary64)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))
(*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
(fma.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (PI.f64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (PI.f64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))
(*.f64 (fma.f64 #s(literal -4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (neg.f64 (PI.f64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 8 binary64))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 8 binary64)
(fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))

localize2.0min (89.1%)

Memory
-7.2MiB live, 1 423.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.582677490952708
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
accuracy60.33104363353302
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
accuracy0.974941259768442
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy59.335732889232695
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
accuracy0.015625
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy0.0234375
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
accuracy0.984375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy60.22824277710022
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
accuracy0
(PI.f64)
accuracy0.984375
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.984375
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
accuracy59.39100237717472
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
accuracy0
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
accuracy0.00390625
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0.015625
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy59.38423868211178
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
Samples
1.5min148×1valid
32.0s102×2valid
4.0ms6×0valid
Compiler

Compiled 1 080 to 98 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5min
ival-div: 42.7s (48.4% of total)
ival-mult: 30.7s (34.7% of total)
adjust: 14.6s (16.5% of total)
ival-asin: 123.0ms (0.1% of total)
ival-acos: 65.0ms (0.1% of total)
ival-add: 45.0ms (0.1% of total)
ival-pow2: 23.0ms (0% of total)
ival-sqrt: 22.0ms (0% of total)
ival-sub: 14.0ms (0% of total)
ival-neg: 14.0ms (0% of total)
ival-pow: 6.0ms (0% of total)
ival-pi: 3.0ms (0% of total)
exact: 1.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0%)

Memory
-9.1MiB live, 112.3MiB allocated
Counts
29 → 276
Calls
Call 1
Inputs
#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (patch (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 2 binary64)) (patch (/.f64 (PI.f64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) (patch (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) (patch (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))) (patch #s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) (patch (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (patch (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))) (patch (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (patch (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor 0 x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@0
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11.0ms
x
@-inf
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10.0ms
x
@inf
((- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (+ (* -1/2 (PI)) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2)) (PI) (* (acos (sqrt (+ (* x -1/2) 1/2))) 2) (/ (PI) 2) (- (/ (PI) 2) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2))))) (* 2 (asin (/ (sqrt (- 1 x)) (sqrt 2)))) (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (+ (* (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) (* (PI) (PI))) (* (/ (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) (* -1/2 (PI)))) 4)) (/ 1/4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* (PI) 1/2)) (* (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (asin (sqrt (+ (* x -1/2) 1/2)))) (- (* 1/8 (pow (PI) 3)) (* (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (asin (sqrt (+ (* x -1/2) 1/2))))) (/ (- (* 1/8 (pow (PI) 3)) (* (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (* (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)) (asin (sqrt (+ (* x -1/2) 1/2)))) (* (* (PI) (PI)) 1/4))) (* 1/8 (pow (PI) 3)) (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (neg (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4)))))) (* 1/4 (* (PI) (PI))) (acos (sqrt (+ (* x -1/2) 1/2))) (sqrt (+ (* x -1/2) 1/2)) (asin (/ (sqrt (- 1 x)) (sqrt 2))) (/ (sqrt (- 1 x)) (sqrt 2)) (asin (sqrt (+ (* x -1/2) 1/2))) (pow (- (* (PI) 1/2) (acos (sqrt (+ (* x -1/2) 1/2)))) 2) (pow (PI) 3) (+ (* (* 1/4 (* (PI) (PI))) (/ (* 1/2 (PI)) (+ (* (* 1/4 (PI)) (PI)) (* (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (sqrt (+ (* x -1/2) 1/2))))) (+ (* 4 (asin (sqrt (+ (* x -1/2) 1/2)))) (PI)))))) (neg (* (asin (sqrt (+ (* -1/2 x) 1/2))) (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ 8 (+ (* (+ (* 4 (asin (sqrt (+ (* -1/2 x) 1/2)))) (PI)) (asin (sqrt (+ (* -1/2 x) 1/2)))) (* (* (PI) (PI)) 1/4))))))) (sqrt (PI)) (asin (sqrt (+ (* -1/2 x) 1/2))))

simplify175.0ms (0.1%)

Memory
5.8MiB live, 235.1MiB allocated
Algorithm
1×egg-herbie
Rules
15 692×lower-fma.f64
15 692×lower-fma.f32
6 724×lower-*.f64
6 724×lower-*.f32
1 978×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02606262
17316138
219186114
358256087
081375383
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1/4 (+ (* 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))))))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ x (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* x (- (* -1/8 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* x (- (* x (- (* -1/16 (/ x (sqrt 2))) (* 1/8 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
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(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
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(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
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(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(* 2 (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* -1/2 (PI))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))
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(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))))))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))
(* (sqrt x) (/ (sqrt -1) (sqrt 2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 3) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 5) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))) 2)
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (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))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (/ (pow (PI) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (* 4 (/ (pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1/4 (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))
(/ 1/4 (+ (* 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))))))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(/ (- (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (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))))
Outputs
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (neg.f64 (PI.f64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (neg.f64 (PI.f64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (neg.f64 (PI.f64))))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (neg.f64 (PI.f64))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(* 2 (acos (sqrt (+ 1/2 (* -1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(- (* 1/2 (PI)) (* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 2 (asin (* (/ 1 (sqrt 2)) (sqrt (- 1 x)))))
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(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(* -8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 (fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (neg.f64 x))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (neg.f64 x))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(asin (* (/ 1 (sqrt 2)) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (sqrt x) (/ (sqrt -1) (sqrt 2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2)))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 2))))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))) 2)
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
(- (* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))) (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))))) (* 8 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

rewrite340.0ms (0.3%)

Memory
7.2MiB live, 477.7MiB allocated
Rules
8 462×lower-fma.f32
8 438×lower-fma.f64
4 844×lower-*.f32
4 810×lower-*.f64
2 160×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100557
0175473
1783309
25243309
08737301
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 1 585
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
(sqrt.f64 (PI.f64))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (fma.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
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(-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))))
(-.f64 #s(literal 0 binary64) (-.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))

eval968.0ms (0.7%)

Memory
53.0MiB live, 1 084.2MiB allocated
Compiler

Compiled 233 516 to 11 557 computations (95.1% saved)

prune741.0ms (0.6%)

Memory
-36.6MiB live, 544.8MiB allocated
Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New3 718173 735
Fresh51419
Picked415
Done055
Total3 727373 764
Accuracy
9.0%
Counts
3 764 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.6%
(fma.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.8%
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓5.5%
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.5%
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
5.5%
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
✓5.5%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.2%
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
5.8%
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
5.6%
(fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
5.6%
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
5.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -8 binary64)))
5.8%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
5.6%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 (pow.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))))
✓5.6%
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (neg.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
✓5.5%
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
✓3.8%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
5.5%
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
5.5%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.5%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.8%
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.6%
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.1%
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
5.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 9 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64)))))
4.2%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
1.4%
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
5.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
5.4%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
5.6%
#s(approx (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
4.6%
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
Compiler

Compiled 5 537 to 1 245 computations (77.5% saved)

regimes201.0ms (0.1%)

Memory
-10.2MiB live, 269.0MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (+ (* (pow (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (/ -4 (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (/ (* (* (PI) (PI)) 1/4) (+ (* (asin (sqrt (+ (* -1/2 x) 1/2))) 2) (* 1/2 (PI))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -4 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) (/ (* 1/4 (PI)) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))) (neg (* (pow (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* -1/2 x) 1/2))))) 2) (/ 4 (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 2) (* 1/2 (PI))))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 4 binary64))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)))))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
Calls

7 calls:

78.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
23.0ms
x
19.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
19.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
18.0ms
(-.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
7.2%1x
7.2%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))))))
7.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.2%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes33.0ms (0%)

Memory
3.4MiB live, 79.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
Calls

7 calls:

6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.0ms
x
4.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
4.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
4.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
7.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.2%1(-.f64 #s(literal 1 binary64) x)
7.2%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))))))
7.2%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes29.0ms (0%)

Memory
23.3MiB live, 69.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
Calls

7 calls:

4.0ms
x
3.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
3.0ms
(-.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
7.2%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))))))
7.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.2%1(-.f64 #s(literal 1 binary64) x)
7.2%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes29.0ms (0%)

Memory
-10.2MiB live, 65.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))))
(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 1/2 binary64))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Calls

7 calls:

6.0ms
x
5.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.0ms
(-.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))))))
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
3.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
7.2%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))))))
7.2%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
7.2%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.2%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
7.2%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
7.2%1(-.f64 #s(literal 1 binary64) x)
7.2%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

regimes12.0ms (0%)

Memory
-3.3MiB live, 33.9MiB allocated
Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

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

7 calls:

4.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
1.0ms
x
1.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
1.0ms
(-.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))))))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
5.4%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
5.4%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.4%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.4%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.4%1(-.f64 #s(literal 1 binary64) x)
5.4%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))))))
5.4%1x
Compiler

Compiled 44 to 41 computations (6.8% saved)

simplify30.0ms (0%)

Memory
1.7MiB live, 83.9MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative-binary64-*.f64
8×+-commutative-binary64-+.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
6×neg-sub0-binary64--.f64-neg.f64
6×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051209
166209
276209
382209
486209
587209
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (*.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64)) (*.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 (acos.f64 #s(approx (sqrt (+ (* x -1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))))

soundness711.0ms (0.5%)

Memory
11.0MiB live, 565.4MiB allocated
Rules
17 048×lower-fma.f64
17 048×lower-fma.f32
15 692×lower-fma.f64
15 692×lower-fma.f32
8 462×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100557
0175473
1783309
25243309
08737301
01135
01935
18935
262635
3726835
0821130
02606262
17316138
219186114
358256087
081375383
01986074
15516058
213236050
338185965
081905220
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×iter limit
1×node limit
1×iter limit
Compiler

Compiled 263 to 131 computations (50.2% saved)

preprocess154.0ms (0.1%)

Memory
10.2MiB live, 168.4MiB allocated
Compiler

Compiled 256 to 106 computations (58.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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