Ian Simplification

Time bar (total: 17.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
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)

sample3.4s (19.2%)

Memory
35.7MiB live, 3 728.4MiB allocated
Samples
1.7s3 175×2valid
1.2s4 778×1valid
45.0ms303×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-asin: 1.3s (52.4% of total)
ival-div: 265.0ms (10.7% of total)
adjust: 250.0ms (10.1% of total)
ival-sub: 193.0ms (7.8% of total)
ival-sqrt: 174.0ms (7% of total)
ival-mult: 162.0ms (6.5% of total)
ival-pi: 116.0ms (4.7% of total)
exact: 10.0ms (0.4% of total)
ival-true: 7.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain268.0ms (1.5%)

Memory
1.3MiB live, 373.3MiB 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))))))cancellation2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
92.0ms174×2valid
79.0ms316×1valid
2.0ms22×0valid
Compiler

Compiled 118 to 37 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-asin: 72.0ms (50.3% of total)
adjust: 16.0ms (11.2% of total)
ival-sub: 16.0ms (11.2% of total)
ival-div: 15.0ms (10.5% of total)
ival-sqrt: 9.0ms (6.3% of total)
ival-mult: 9.0ms (6.3% of total)
ival-pi: 5.0ms (3.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess35.0ms (0.2%)

Memory
13.8MiB live, 52.6MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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 (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)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify61.0ms (0.3%)

Memory
-29.6MiB live, 7.6MiB allocated
Algorithm
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
iter limit
saturated
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 (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) #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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize101.0ms (0.6%)

Memory
6.5MiB live, 84.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(PI.f64)
accuracy0.0234375
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
accuracy0.96484375
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
accuracy58.42746962566453
(-.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
45.0ms87×2valid
39.0ms158×1valid
1.0ms11×0valid
Compiler

Compiled 52 to 13 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-asin: 36.0ms (50.7% of total)
ival-div: 9.0ms (12.7% of total)
adjust: 8.0ms (11.3% of total)
ival-sub: 5.0ms (7% of total)
ival-sqrt: 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)

series7.0ms (0%)

Memory
8.3MiB live, 8.3MiB 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 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 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 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 (- (* 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 (- (* 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 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 (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 (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 (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 (* (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 (* (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

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt (/ (- 1 x) 2))
1.0ms
x
@-inf
(sqrt (/ (- 1 x) 2))
1.0ms
x
@0
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
1.0ms
x
@inf
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
0.0ms
x
@-inf
(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))

simplify456.0ms (2.6%)

Memory
20.9MiB live, 402.3MiB allocated
Algorithm
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
2888597
32697580
46151580
08453543
Stop Event
iter limit
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 x)
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(* x (- (* 1/2 (/ 1 x)) 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 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* -1/8 (* x (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (+ (* -1/2 (sqrt 1/2)) (* x (+ (* -1/8 (sqrt 1/2)) (* -1/16 (* x (sqrt 1/2))))))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (- 1 x))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(- (* 1/2 (PI)) (* 2 (asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))))
(fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (- 1 x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin (* (sqrt 1/2) (sqrt (+ 1 (* -1 x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/2 (* x (sqrt 1/2))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 x #s(literal -1/8 binary64) #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))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(* (sqrt x) (* (sqrt -1) (sqrt 1/2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))
(*.f64 x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt 1/2) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt 1/2) (sqrt -1)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

rewrite339.0ms (1.9%)

Memory
-7.1MiB live, 469.7MiB 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
iter limit
node limit
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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (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))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 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 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #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 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (fma.f64 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))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (neg.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 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64))))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
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(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

eval72.0ms (0.4%)

Memory
35.6MiB live, 150.0MiB allocated
Compiler

Compiled 12 038 to 1 849 computations (84.6% saved)

prune146.0ms (0.8%)

Memory
-22.8MiB live, 213.3MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New44625471
Fresh000
Picked101
Done000
Total44725472
Accuracy
10.7%
Counts
472 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
4.9%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(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)))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(/.f64 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
7.7%
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (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 (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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (*.f64 (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (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 (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 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
7.8%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
8.7%
(-.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))))))))
7.3%
(-.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))))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
Compiler

Compiled 2 684 to 1 022 computations (61.9% saved)

simplify340.0ms (1.9%)

Memory
-11.5MiB live, 550.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
cost-diff128
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff128
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
cost-diff320
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
cost-diff128
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff320
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
cost-diff0
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
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 (PI.f64) #s(literal 1/2 binary64)))
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
20 796×lower-fma.f32
20 774×lower-fma.f64
6 908×lower-*.f32
6 884×lower-*.f64
2 046×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052680
098680
1181680
2454664
31346664
43406662
57405656
08600647
Stop Event
iter limit
node limit
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 (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)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.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 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(cbrt.f64 (PI.f64))
(*.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 -2 binary64)
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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))
(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 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) #s(literal -2 binary64))
#s(literal -2 binary64)
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 3 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 3 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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)))) (-.f64 (*.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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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) (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -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 (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 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 (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)
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(cbrt.f64 (PI.f64))
(*.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 -2 binary64)
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.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 (PI.f64) #s(literal 1/2 binary64))))) (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 #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)) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
#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))
(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 (PI.f64) #s(literal 1/2 binary64) (*.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)))
(*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 #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)) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 #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)) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 #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)) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (PI.f64) (fma.f64 (asin.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 -4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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 3 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 3 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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)))) (-.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.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 (asin.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 4 binary64) (neg.f64 (PI.f64))))
(-.f64 (*.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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 #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)) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 #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)) (fma.f64 (PI.f64) #s(literal 1/4 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))

localize870.0ms (4.9%)

Memory
-42.1MiB live, 1 194.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.9951362793053261
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
accuracy58.43571743782612
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64))
accuracy59.17599540128412
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy0.96484375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy58.37044420782502
(fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy58.42746962566453
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
accuracy59.14978533747383
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy0.0234375
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0.96484375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy1.0
(cbrt.f64 (PI.f64))
accuracy59.2667241758921
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
accuracy0
(PI.f64)
accuracy0.0234375
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0.96484375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy58.42746962566453
(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)))
accuracy0.0234375
(sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0.02734375
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy0.04296875
(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))))))
accuracy58.42746962566453
(-.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
212.0ms165×1valid
200.0ms87×2valid
2.0ms0valid
Compiler

Compiled 766 to 61 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 345.0ms
ival-mult: 67.0ms (19.4% of total)
ival-asin: 65.0ms (18.8% of total)
adjust: 42.0ms (12.2% of total)
ival-acos: 35.0ms (10.1% of total)
ival-pow: 33.0ms (9.6% of total)
ival-add: 29.0ms (8.4% of total)
ival-pow2: 15.0ms (4.3% of total)
ival-div: 15.0ms (4.3% of total)
const: 14.0ms (4.1% of total)
ival-neg: 6.0ms (1.7% of total)
ival-cbrt: 6.0ms (1.7% of total)
ival-sqrt: 5.0ms (1.4% of total)
ival-sub: 5.0ms (1.4% of total)
ival-fabs: 4.0ms (1.2% of total)
ival-pi: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series56.0ms (0.3%)

Memory
-4.2MiB live, 113.4MiB allocated
Counts
25 → 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 (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 (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 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (patch (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (patch (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (patch (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (patch (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (patch (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 (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 (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 #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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #<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>) () ())
Outputs
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#s(alt (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI))) (taylor -inf x) (#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor 0 x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor 0 x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor 0 x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor 0 x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor -inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor -inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor -inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))) (taylor -inf x) (#s(alt (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(+ (* (/ (* (PI) (* 1/4 (PI))) (+ (* -4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (* (PI) (* 1/4 (PI))))) (+ (* (PI) 1/2) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
3.0ms
x
@0
(+ (* (/ (* (PI) (* 1/4 (PI))) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (* (PI) (PI)) (* (PI) 1/8)))) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (- (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
3.0ms
x
@0
(* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))
3.0ms
x
@inf
(+ (* (/ (* (PI) (* 1/4 (PI))) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (* (PI) (PI)) (* (PI) 1/8)))) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (- (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))
3.0ms
x
@-inf
(+ (* (/ (* (PI) (* 1/4 (PI))) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (* (PI) (PI)) (* (PI) 1/8)))) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (- (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (neg (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 2) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)))))

simplify348.0ms (1.9%)

Memory
30.4MiB live, 600.5MiB allocated
Algorithm
egg-herbie
Rules
20 912×lower-fma.f64
20 912×lower-fma.f32
6 298×lower-*.f64
6 298×lower-*.f32
2 124×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01854754
15034738
212684718
335884639
477074639
082154086
Stop Event
iter limit
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))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (* 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 (- (* 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)))))))
(- (* 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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(* -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 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)))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(* -4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 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) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 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) (+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 4 (/ (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x)))))))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 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) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x)))))))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(* 1/4 (/ (pow (PI) 2) (+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))))
(- (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 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) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(- (* 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)))))
(- (* 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)))))
(- (* 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)))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)
(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)
(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)
Outputs
(* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))
(fma.f64 (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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 (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (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 x (/.f64 (*.f64 x (*.f64 x #s(literal -1/128 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (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 x) (sqrt -1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(*.f64 x (fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -1/2 binary64))))))
(* 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)))))
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(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))

rewrite629.0ms (3.5%)

Memory
-21.4MiB live, 623.1MiB allocated
Rules
8 866×lower-fma.f32
8 844×lower-fma.f64
4 524×lower-*.f32
4 502×lower-*.f64
3 156×lower-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052364
098346
1397337
23931337
08565337
Stop Event
iter limit
node limit
iter limit
Counts
25 → 992
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 (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))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.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 2/3 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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))))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(cbrt.f64 (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (*.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) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
Outputs
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (PI.f64))
(exp.f64 (log.f64 (*.f64 #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 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 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 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 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64) (PI.f64))
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (PI.f64))
(fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (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)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.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)))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (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 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))
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(exp.f64 (fma.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3/2 binary64))))
(fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(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)) (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 (PI.f64) #s(literal 1/2 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)) (*.f64 (PI.f64) #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)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (*.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (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) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.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 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.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)))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.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 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 2 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.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 2 binary64)) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (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)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.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 (neg.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (*.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)))
(/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (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))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.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) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #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 (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 3/2 binary64))
(pow.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 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.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)))) (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)) (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.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)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))

eval697.0ms (3.9%)

Memory
39.2MiB live, 1 132.3MiB allocated
Compiler

Compiled 196 411 to 8 357 computations (95.7% saved)

prune559.0ms (3.1%)

Memory
10.7MiB live, 884.6MiB allocated
Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New3 313253 338
Fresh71320
Picked325
Done000
Total3 323403 363
Accuracy
10.9%
Counts
3 363 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
4.9%
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (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 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)))))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
7.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
7.8%
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
7.3%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.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(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 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 (PI.f64) #s(literal 1/2 binary64))))))
7.0%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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) (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) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.3%
(fma.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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))) (/.f64 #s(literal 1 binary64) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
7.8%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))) (/.f64 (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 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))))))
7.7%
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (*.f64 #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 2 binary64) (asin.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)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(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)))
4.5%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.9%
(fma.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))) (/.f64 (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 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)))))
7.8%
(/.f64 (fma.f64 (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 2 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(/.f64 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
7.7%
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (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 (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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
7.8%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.3%
(-.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))))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
Compiler

Compiled 3 985 to 1 856 computations (53.4% saved)

simplify251.0ms (1.4%)

Memory
-26.0MiB live, 323.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
cost-diff0
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
cost-diff128
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
cost-diff0
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff320
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff17280
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
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 (PI.f64) #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
cost-diff0
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
cost-diff0
(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)))
cost-diff0
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
Rules
11 778×lower-fma.f32
11 756×lower-fma.f64
4 648×lower-*.f32
4 618×lower-*.f64
2 594×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068761
0118791
1210785
2464719
31331719
43545713
57671713
08049712
Stop Event
iter limit
node limit
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 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))))
(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)))
#s(literal 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))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(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 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #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)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (asin.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 4 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)
(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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
#s(literal 3 binary64)
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 3 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 3 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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)))) (-.f64 (*.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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64))))
#s(literal -1 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64))
(*.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)
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(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)))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
#s(literal 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))))
(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)))
(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))
#s(literal -1/2 binary64)
x
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(PI.f64)
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 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)))
(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 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#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)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 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 #s(literal -2 binary64) (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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(literal 1 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (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 (/.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 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal -8 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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 (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 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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.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 4 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)
(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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
#s(literal 3 binary64)
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))) (fma.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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 3 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 3 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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)))) (-.f64 (*.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 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 4 binary64) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))
(neg.f64 (*.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 (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (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 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(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 -2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)

localize611.0ms (3.4%)

Memory
13.5MiB live, 891.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.9951362793053261
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
accuracy58.43571743782612
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64))
accuracy59.17599540128412
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
accuracy0.96484375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy0.9951362793053261
(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
accuracy58.251487787270065
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
accuracy0.25390625
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy0.37109375
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy0.96484375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy58.42746962566453
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
accuracy0.0234375
(sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))
accuracy0.96484375
(asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))))
accuracy1.592654341200237
#s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64))
accuracy58.42746962566453
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy0
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
accuracy0.0234375
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
accuracy0.02734375
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
accuracy58.42790272684716
(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)))
Samples
239.0ms87×2valid
228.0ms158×1valid
9.0ms11×0valid
Compiler

Compiled 840 to 66 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-mult: 79.0ms (22% of total)
ival-acos: 75.0ms (20.9% of total)
adjust: 47.0ms (13.1% of total)
ival-asin: 45.0ms (12.5% of total)
ival-pow: 30.0ms (8.4% of total)
ival-add: 29.0ms (8.1% of total)
ival-div: 22.0ms (6.1% of total)
ival-pi: 10.0ms (2.8% of total)
ival-sqrt: 9.0ms (2.5% of total)
ival-sub: 7.0ms (1.9% of total)
ival-neg: 3.0ms (0.8% of total)
exact: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.4%)

Memory
23.4MiB live, 61.7MiB allocated
Counts
24 → 240
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 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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (patch (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) #<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 (PI.f64) #s(literal 1/2 binary64))) (patch (fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<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 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
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#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))) (patch (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (patch (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64))))) (patch (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (patch (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.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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#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>) () ())
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 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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<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 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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<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 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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<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 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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) (taylor inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) (taylor inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) (taylor inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (- 1/2 (* 1/2 x))))))) (taylor inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor -inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor -inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x))))))) (taylor -inf x) (#s(alt #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) (patch #s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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)))) #<representation binary64>) () ())) ())
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#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) (patch (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
41.0ms
x
@inf
(+ (* (/ (* (PI) (* 1/4 (PI))) (+ (* 8 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 3)) (* (* (PI) (PI)) (* (PI) 1/8)))) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (- (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (/ -1 (* (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) (pow (* (asin (sqrt (+ (* x -1/2) 1/2))) -2) -2))))
11.0ms
x
@inf
(- (/ (* (* (PI) (PI)) (* (PI) 1/8)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))))
3.0ms
x
@-inf
(- (/ (* (* (PI) (PI)) (* (PI) 1/8)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))))
2.0ms
x
@0
(- (/ (* (* (PI) (PI)) (* (PI) 1/8)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (/ (pow (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) 3) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))))
1.0ms
x
@inf
(* (+ (* (PI) 1/2) (* (asin (sqrt (+ (* x -1/2) 1/2))) -2)) (/ 1 (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2))))

simplify323.0ms (1.8%)

Memory
10.6MiB live, 525.1MiB allocated
Algorithm
egg-herbie
Rules
20 706×lower-fma.f64
20 706×lower-fma.f32
6 188×lower-*.f64
6 188×lower-*.f32
2 066×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01905052
15055020
212334980
334604870
475964870
081024265
Stop Event
iter limit
node limit
Counts
240 → 240
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 (- (* 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)))))))
(- (* 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))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (- 1/2 (* 1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(acos (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (- 1/2 (* 1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(asin (sqrt (+ 1/2 (* -1/2 x))))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/4 (/ x (sqrt 1/2))))
(+ (sqrt 1/2) (* x (- (* -1/32 (/ x (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* x (- (* x (- (* -1/128 (/ x (pow (sqrt 1/2) 5))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (sqrt 1/2))))))
(* (sqrt x) (sqrt -1/2))
(* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ 1 x)) (sqrt -1/2))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 1/2) 3)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 1/2) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 1/2))))))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(+ 1/2 (* -1/2 x))
(* -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 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)))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
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(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
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(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
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(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)
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(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
Outputs
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
(- (* 1/2 (PI)) (* 2 (- (* 1/2 (PI)) (acos (sqrt (+ 1/2 (* -1/2 x)))))))
(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)))
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(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
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(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
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(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
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(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(* 1/4 (/ (pow (PI) 2) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))
(*.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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))

rewrite416.0ms (2.3%)

Memory
-2.5MiB live, 766.7MiB allocated
Rules
6 560×lower-fma.f32
6 538×lower-fma.f64
4 562×lower-*.f32
4 532×lower-*.f64
2 812×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068403
0118318
1474310
24528308
08939308
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 099
Calls
Call 1
Inputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
(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)))
(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 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(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))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(PI.f64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 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))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (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 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) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 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 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 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 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 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 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.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)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.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)) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (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) (PI.f64)))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (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 1/2 binary64) (PI.f64) (neg.f64 (asin.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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
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eval673.0ms (3.8%)

Memory
60.9MiB live, 1 666.2MiB allocated
Compiler

Compiled 198 037 to 7 947 computations (96% saved)

prune652.0ms (3.7%)

Memory
-83.2MiB live, 1 527.0MiB allocated
Pruning

61 alts after pruning (55 fresh and 6 done)

PrunedKeptTotal
New3 075293 104
Fresh72633
Picked145
Done022
Total3 083613 144
Accuracy
11.5%
Counts
3 144 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
7.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) (-.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.7%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (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 -2 binary64)))))
7.1%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)) #s(literal -2 binary64)))))
7.4%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.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)) #s(literal -2 binary64)))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
7.3%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.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(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.0%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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) (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) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.3%
(fma.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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))) (/.f64 #s(literal 1 binary64) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
7.8%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))) (/.f64 (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 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))))))
7.7%
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (*.f64 #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 2 binary64) (asin.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)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(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)))
4.5%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.9%
(fma.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))) (/.f64 (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 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)))))
7.8%
(/.f64 (fma.f64 (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 2 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(/.f64 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
7.7%
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (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 (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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
4.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
4.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
3.6%
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
7.8%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.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)))))) (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))))))
7.8%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
8.7%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.7%
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.7%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 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 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
4.9%
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (neg.f64 (-.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(*.f64 (*.f64 (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
7.7%
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/2 binary64) (PI.f64) (*.f64 #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 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
7.1%
#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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
5.1%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Compiler

Compiled 6 176 to 2 796 computations (54.7% saved)

simplify257.0ms (1.4%)

Memory
12.6MiB live, 413.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))
cost-diff0
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
cost-diff0
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
cost-diff128
(neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
cost-diff320
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff1664
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff0
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff0
(acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
cost-diff128
(-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
cost-diff21568
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
Rules
10 144×lower-fma.f32
10 112×lower-fma.f64
5 826×lower-*.f32
5 788×lower-*.f64
2 712×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871098
01561087
12921078
27501060
330081015
472201015
082111007
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (asin.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 4 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)
(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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64))
(-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -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 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (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))))
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (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 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
#s(literal 2 binary64)
(acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#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 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))) #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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #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)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #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)))))
#s(literal -2 binary64)
(fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.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 4 binary64) (neg.f64 (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)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
#s(literal 4 binary64)
(neg.f64 (PI.f64))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 (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 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 (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))
(*.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)
#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 #s(literal -1/2 binary64) (PI.f64))
Outputs
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (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 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
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#s(literal -2 binary64)
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(fma.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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
#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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 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 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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 (PI.f64) (/.f64 (*.f64 (*.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)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))
(fma.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))
(neg.f64 (*.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))))))
(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)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
#s(literal 4 binary64)
(neg.f64 (PI.f64))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 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 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 (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 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 (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)) (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))))
(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 2 binary64))
(*.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)
#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)))
(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 -1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal -1/2 binary64))

localize900.0ms (5%)

Memory
49.9MiB live, 1 066.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.9951362793053261
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
accuracy58.43571743782612
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64)))
accuracy59.17599540128412
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
accuracy0.96484375
(asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy58.37044420782502
(fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
accuracy58.42746962566453
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
accuracy58.42746962566453
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
accuracy0.9765625
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy58.42746962566453
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
accuracy58.42790272684716
(fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy0
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
accuracy0.02734375
(acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy1.535371815067558
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy58.42790272684716
(fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
accuracy0.9765625
(-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
accuracy0.9850387695368841
(pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
accuracy58.251487787270065
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
Samples
299.0ms87×2valid
282.0ms158×1valid
7.0ms11×0valid
Compiler

Compiled 1 210 to 90 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 444.0ms
ival-mult: 107.0ms (24.1% of total)
ival-add: 74.0ms (16.7% of total)
ival-acos: 60.0ms (13.5% of total)
adjust: 54.0ms (12.2% of total)
ival-asin: 50.0ms (11.3% of total)
ival-div: 28.0ms (6.3% of total)
ival-pow2: 18.0ms (4.1% of total)
ival-pow: 16.0ms (3.6% of total)
ival-sqrt: 15.0ms (3.4% of total)
ival-sub: 11.0ms (2.5% of total)
ival-neg: 7.0ms (1.6% of total)
ival-pi: 3.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series107.0ms (0.6%)

Memory
-40.7MiB live, 51.3MiB allocated
Counts
30 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (patch (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.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 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))) (patch (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))) #<representation binary64>) () ())
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#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
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#s(alt (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (patch (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/4 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (patch (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.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 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -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>) () ())
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#s(alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (patch (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (patch (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (patch (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 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 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())
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Outputs
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#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (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 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI)) (taylor inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI)) (taylor -inf x) (#s(alt (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (patch (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor 0 x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 3) (taylor inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3) (taylor -inf x) (#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>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
28.0ms
x
@0
(/ (pow (- (* (PI) (PI)) (pow (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) 3) (pow (- (PI) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))) 3))
3.0ms
x
@-inf
(/ (pow (- (* (PI) (PI)) (pow (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) 3) (pow (- (PI) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))) 3))
3.0ms
x
@inf
(/ (pow (- (* (PI) (PI)) (pow (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) 3) (pow (- (PI) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))) 3))
3.0ms
x
@0
(* (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) (* (/ (+ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))))
2.0ms
x
@inf
(* (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* (PI) 1/2)) (* (/ (+ (* 1/2 (PI)) (* -2 (asin (sqrt (+ (* x -1/2) 1/2))))) (+ (* 4 (pow (asin (sqrt (+ (* x -1/2) 1/2))) 2)) (neg (* (PI) (* (PI) 1/4))))) (+ (* 2 (asin (sqrt (+ (* x -1/2) 1/2)))) (* -1/2 (PI)))))

simplify356.0ms (2%)

Memory
17.6MiB live, 367.7MiB allocated
Algorithm
egg-herbie
Rules
13 714×lower-fma.f64
13 714×lower-fma.f32
6 640×lower-*.f64
6 640×lower-*.f32
2 154×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02177330
16317314
215877234
352427101
081426149
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (+ (PI) (* 4 (asin (sqrt (- 1/2 (* 1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(- (* 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 (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (* (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x)))))))) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))))
(* 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))))))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
(* 1/8 (/ (pow (PI) 3) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (+ (PI) (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))))))))
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(+ (* 1/4 (/ (* (pow (PI) 2) (+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))) (+ (* 1/8 (pow (PI) 3)) (* 8 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3))))) (* 4 (/ (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2) (+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* -1/2 (PI))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (- 1/2 (* 1/2 x)))) (- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (sqrt (+ 1/2 (* -1/2 x)))) (- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))))
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3)
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (- 1/2 (* 1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -2 (asin (sqrt (+ 1/2 (* -1/2 x))))) (* 1/2 (PI)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)
(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)
(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)
Outputs
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (- 1/2 (* 1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(/ (pow (- (pow (PI) 2) (* 4 (pow (acos (sqrt (+ 1/2 (* -1/2 x)))) 2))) 3) (pow (- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x)))))) 3))
(pow.f64 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (- 1/2 (* 1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
(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))
(- (PI) (* -2 (acos (sqrt (+ 1/2 (* -1/2 x))))))
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(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (- 1/2 (* 1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(+ (* -1/2 (PI)) (* 2 (asin (sqrt (+ 1/2 (* -1/2 x))))))
(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)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (- 1/2 (* 1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 2)) (* 1/4 (pow (PI) 2)))
(fma.f64 #s(literal 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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (- 1/2 (* 1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(- (* 4 (asin (sqrt (+ 1/2 (* -1/2 x))))) (PI))
(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)))
(pow (asin (sqrt (+ 1/2 (* -1/2 x)))) 3)
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #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 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64))

rewrite685.0ms (3.8%)

Memory
16.6MiB live, 644.2MiB allocated
Rules
8 274×lower-fma.f32
8 242×lower-fma.f64
4 664×lower-*.f32
4 628×lower-*.f64
2 524×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087581
0156474
1690460
26592460
08343453
Stop Event
iter limit
node limit
iter limit
Counts
30 → 1 495
Calls
Call 1
Inputs
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))))
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -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 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.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 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(fma.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 (*.f64 (PI.f64) (*.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) (neg.f64 (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))
Outputs
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))))) (*.f64 #s(literal 3 binary64) (log.f64 (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))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64)))))
(/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (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)) #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (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)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (pow.f64 (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)) #s(literal 3 binary64)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (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))) (pow.f64 (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)) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 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) (PI.f64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3/2 binary64))) (pow.f64 (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)) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (pow.f64 (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)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (pow.f64 (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)) #s(literal -3 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (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)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (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)) #s(literal -3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (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)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 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 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (pow.f64 (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)) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 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) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 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) (PI.f64))) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (pow.f64 (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)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) (pow.f64 (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)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 3/2 binary64))))
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(*.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 16 binary64) (*.f64 (PI.f64) (neg.f64 (PI.f64)))) (/.f64 #s(literal 1 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))))
(+.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)) (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 (PI.f64) #s(literal 1/2 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)) (*.f64 (PI.f64) #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)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.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 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(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)) (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 (PI.f64) #s(literal 1/2 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)) (*.f64 (PI.f64) #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)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.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)))
(/.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 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 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)) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (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)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (acos.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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (acos.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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.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)))))))
(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 (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 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (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 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64)))

eval1.2s (6.5%)

Memory
-91.5MiB live, 1 812.7MiB allocated
Compiler

Compiled 255 017 to 10 476 computations (95.9% saved)

prune763.0ms (4.3%)

Memory
-20.4MiB live, 1 500.1MiB allocated
Pruning

75 alts after pruning (67 fresh and 8 done)

PrunedKeptTotal
New3 736263 762
Fresh94150
Picked325
Done066
Total3 748753 823
Accuracy
11.6%
Counts
3 823 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (*.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)) #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)))))
7.8%
(fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (/.f64 (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 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)))))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
7.2%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
7.6%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (asin.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 4 binary64) (PI.f64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))))
7.7%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (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 -2 binary64)))))
7.1%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)) #s(literal -2 binary64)))))
7.4%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.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)) #s(literal -2 binary64)))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 -2 binary64)))))
7.0%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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) (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) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.8%
(fma.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))) (neg.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
7.3%
(fma.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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(fma.f64 (*.f64 (fma.f64 (asin.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 4 binary64) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (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) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
7.8%
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.8%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (neg.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))) (/.f64 (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 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))))))
7.7%
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.8%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.8%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
7.7%
(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)))
4.5%
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
7.8%
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.9%
(fma.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.f64)))))) (/.f64 (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 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)))))
7.8%
(/.f64 (fma.f64 (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 2 binary64)) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 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))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (neg.f64 (PI.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))) (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(/.f64 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
7.7%
(/.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
8.7%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))))
8.7%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))))
7.7%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (neg.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (*.f64 (neg.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.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)))) (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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
7.8%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (*.f64 (fma.f64 (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 (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 #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))))
7.8%
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (fma.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)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
4.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
4.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
3.6%
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
7.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
8.7%
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
7.3%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.8%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.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)))))) (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))))))
7.8%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
8.7%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (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)) #s(literal -3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.7%
(-.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
7.7%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (*.f64 #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 -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
7.7%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
7.7%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 #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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (/.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
8.7%
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(*.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
7.7%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
7.8%
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (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 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
4.9%
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (neg.f64 (-.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
7.7%
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/2 binary64) (PI.f64) (*.f64 #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 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
7.3%
#s(approx (- (/ (* (* (PI) (PI)) (* (PI) 1/8)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (/ (/ (pow (- (* (PI) (PI)) (pow (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) 3) (pow (- (PI) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))) 3)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.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 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64)) (neg.f64 (fma.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)))))))
7.2%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
7.1%
#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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
3.9%
#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 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
3.9%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
5.1%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
8.7%
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Compiler

Compiled 10 957 to 2 361 computations (78.5% saved)

regimes294.0ms (1.6%)

Memory
17.7MiB live, 255.7MiB allocated
Counts
106 → 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 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #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 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))))
(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(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #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 (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 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 (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 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
Outputs
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
Calls

7 calls:

58.0ms
x
49.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
46.0ms
(-.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))))))
41.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
40.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
8.7%1x
8.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.7%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes356.0ms (2%)

Memory
-3.6MiB live, 236.2MiB allocated
Counts
105 → 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 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #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 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))))
(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(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #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 (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 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 (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 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/2 binary64) (PI.f64) (*.f64 #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 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.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 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 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 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64)))) #s(literal -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 3 binary64)) #s(literal -8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #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 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (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 (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 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))))
Outputs
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
Calls

7 calls:

56.0ms
(-.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))))))
56.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
56.0ms
x
55.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
52.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
8.7%1x
8.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
8.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.7%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes277.0ms (1.6%)

Memory
8.9MiB live, 205.6MiB allocated
Counts
92 → 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 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #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 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))))
(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(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #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 (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 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 (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 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
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(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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) (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) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (/ (* (* (PI) (PI)) (* (PI) 1/8)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI))))) (/ (/ (pow (- (* (PI) (PI)) (pow (* -2 (acos (sqrt (+ (* x -1/2) 1/2)))) 2)) 3) (pow (- (PI) (* -2 (acos (sqrt (+ (* x -1/2) 1/2))))) 3)) (+ (* (PI) (* 1/4 (PI))) (* (asin (sqrt (+ (* x -1/2) 1/2))) (+ (* (asin (sqrt (+ (* x -1/2) 1/2))) 4) (PI)))))) (fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.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 (/.f64 (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 (PI.f64) (PI.f64))) (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))) #s(literal 3 binary64)) (neg.f64 (fma.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 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (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 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.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 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))))) (fma.f64 (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)))) (-.f64 (*.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 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -2 binary64)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (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)) #s(literal -3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (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 (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 (/.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))) (neg.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.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))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
Calls

7 calls:

65.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
46.0ms
x
45.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
42.0ms
(-.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))))))
32.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
8.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.7%1(-.f64 #s(literal 1 binary64) x)
8.7%1x
8.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes116.0ms (0.6%)

Memory
4.5MiB live, 82.6MiB allocated
Counts
33 → 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 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (asin.f64 (sqrt.f64 #s(approx (+ (* x -1/2) 1/2) #s(literal 1/2 binary64)))) #s(literal -2 binary64) (*.f64 (PI.f64) #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 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))))
(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(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #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 (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 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (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 (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 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (asin.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 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.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)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (*.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 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) #s(literal -2 binary64)))
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.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)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (fma.f64 (PI.f64) (*.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 2 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #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 1/2 binary64) (PI.f64) (*.f64 #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 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.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 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.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 binary64) (fma.f64 #s(literal 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 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1/2 binary64)))) #s(literal -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 3 binary64)) #s(literal -8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64)))))
Outputs
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (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))))
Calls

7 calls:

43.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
31.0ms
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
9.0ms
x
7.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
7.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
8.7%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
8.7%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
8.7%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
8.7%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
8.7%1(-.f64 #s(literal 1 binary64) x)
8.7%1x
8.7%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes34.0ms (0.2%)

Memory
-28.1MiB live, 16.8MiB allocated
Accuracy

Total -1.3b remaining (-2.1%)

Threshold costs -1.3b (-2.1%)

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

7 calls:

26.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
1.0ms
x
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
(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
5.1%1(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
5.1%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
5.1%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
5.1%1(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
5.1%1(-.f64 #s(literal 1 binary64) x)
5.1%1x
5.1%1(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
Compiler

Compiled 51 to 41 computations (19.6% saved)

simplify15.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Algorithm
egg-herbie
Rules
66×*-commutative_binary64
46×+-commutative_binary64
46×sub-neg_binary64
36×neg-sub0_binary64
36×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093567
1124567
2159567
3195567
4228567
5245567
6251567
7252567
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 4 binary64) (PI.f64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 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))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
Outputs
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (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)) #s(literal 3 binary64)) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (pow.f64 (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)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (pow.f64 (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)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (pow.f64 (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)) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.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) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal -3 binary64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.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 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (fma.f64 (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 (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 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (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 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (PI.f64))))) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.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 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (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 3 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.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 4 binary64) (PI.f64))))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 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 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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 (pow.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 2 binary64)) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #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 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))))
#s(approx (- (/ (PI) 2) (* 2 (+ (* (PI) 1/2) (neg (acos (sqrt (+ (* x -1/2) 1/2))))))) (fma.f64 #s(literal 2 binary64) (acos.f64 #s(approx (sqrt (+ (* -1/2 x) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))

soundness1.0s (5.8%)

Memory
-19.7MiB live, 745.3MiB allocated
Rules
20 912×lower-fma.f64
20 912×lower-fma.f32
20 706×lower-fma.f64
20 706×lower-fma.f32
8 274×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01854754
15034738
212684718
335884639
477074639
082154086
087581
0156474
1690460
26592460
08343453
068403
0118318
1474310
24528308
08939308
01905052
15055020
212334980
334604870
475964870
081024265
01135
01935
18935
262635
3726835
0821130
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 605 to 129 computations (78.7% saved)

preprocess76.0ms (0.4%)

Memory
23.6MiB live, 141.4MiB allocated
Compiler

Compiled 1 050 to 174 computations (83.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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